"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "ox6BA2ofV_3p"
},
"source": [
"# Module 2: John Snow's map\n",
"\n",
"Follow the contents of this notebook and answer all questions (e.g. **Q1: ...**)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "msQ8IFvWV_3x"
},
"source": [
"## Jupyter + Pandas = Awesomeness"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "-hLwyxsUV_3x"
},
"source": [
"[Jupyter notebook (lab)](http://jupyter.org) and [Pandas](http://pandas.pydata.org) may be the two most important libraries responsible for the `Python`'s rise in data science. `Jupyter` lets you interactively explore datasets and code; `Pandas` lets you handle tabular datasets with superb speed and convenience. And they work so well together! In many cases, `Jupyter` and `Pandas` are all you need to load, clean, transform, visualize, and understand a dataset.\n",
"\n",
"If you are not familiar with `Pandas`, you may want to follow their official tutorial called [10 Minutes to pandas](https://pandas.pydata.org/pandas-docs/stable/user_guide/10min.html) now or in the near future. "
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "nTR20eiSV_3y"
},
"source": [
"## Importing pandas\n",
"\n",
"The convention for importing `pandas` is the following"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"execution": {
"iopub.execute_input": "2020-05-17T21:06:39.071Z",
"iopub.status.busy": "2020-05-17T21:06:39.054Z",
"iopub.status.idle": "2020-05-17T21:06:39.826Z",
"shell.execute_reply": "2020-05-17T21:06:39.848Z"
},
"executionInfo": {
"elapsed": 356,
"status": "ok",
"timestamp": 1684852724501,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "rVXgfGBcV_3y"
},
"outputs": [],
"source": [
"import pandas as pd"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "SI0DKpp3V_3z"
},
"source": [
"You can check the version of the library. Because pandas is fast-evolving library, you want to make sure that you have the up-to-date version of the library. "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 36
},
"execution": {
"iopub.execute_input": "2020-05-17T21:06:41.885Z",
"iopub.status.busy": "2020-05-17T21:06:41.867Z",
"iopub.status.idle": "2020-05-17T21:06:41.919Z",
"shell.execute_reply": "2020-05-17T21:06:41.935Z"
},
"executionInfo": {
"elapsed": 575,
"status": "ok",
"timestamp": 1684852729059,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "BySTPnrkV_3z",
"outputId": "f2717ef8-413e-4295-9eb9-1c0b46c9c08e"
},
"outputs": [
{
"data": {
"text/plain": [
"'2.1.1'"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.__version__"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "O_VHaBeJV_30"
},
"source": [
"You also need `matplotlib`, which is used by `pandas` to plot figures. The following is the most common convention to import `matplotlib` library. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"execution": {
"iopub.execute_input": "2020-05-17T21:06:43.626Z",
"iopub.status.busy": "2020-05-17T21:06:43.613Z",
"iopub.status.idle": "2020-05-17T21:06:43.889Z",
"shell.execute_reply": "2020-05-17T21:06:43.910Z"
},
"executionInfo": {
"elapsed": 4,
"status": "ok",
"timestamp": 1684852730215,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "DYL0_pF_V_31"
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "6XjKV55tV_31"
},
"source": [
"Let's check its version too. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 36
},
"execution": {
"iopub.execute_input": "2020-05-17T21:06:45.160Z",
"iopub.status.busy": "2020-05-17T21:06:45.146Z",
"iopub.status.idle": "2020-05-17T21:06:45.187Z",
"shell.execute_reply": "2020-05-17T21:06:45.201Z"
},
"executionInfo": {
"elapsed": 6,
"status": "ok",
"timestamp": 1684852731736,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "R-tadeEdV_31",
"outputId": "e53b2b48-806b-42d1-b997-c1fadc5d7d7d"
},
"outputs": [
{
"data": {
"text/plain": [
"'3.8.0'"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import matplotlib\n",
"matplotlib.__version__"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "QMUK2TQiV_32"
},
"source": [
"## Loading a CSV data file\n",
"\n",
"Using pandas, you can read tabular data files in [many formats and through many protocols](https://pandas.pydata.org/pandas-docs/stable/io.html). Pandas supports not only flat files such as `.csv`, but also various other formats including clipboard, Excel, JSON, HTML, Feather, Parquet, SQL, Google BigQuery, and so on. Moreover, you can pass a local file path or a URL. If it's on Amazon S3, just pass a url like `s3://path/to/file.csv`. If it's on a webpage, then just use `https://some/url.csv`. \n",
"\n",
"Let's load a dataset about the location of pumps in the John Snow's map. You can download the file to your computer and try to load it using the local path too. "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"execution": {
"iopub.execute_input": "2020-05-17T21:06:46.182Z",
"iopub.status.busy": "2020-05-17T21:06:46.167Z",
"iopub.status.idle": "2020-05-17T21:06:46.474Z",
"shell.execute_reply": "2020-05-17T21:06:46.486Z"
},
"executionInfo": {
"elapsed": 176,
"status": "ok",
"timestamp": 1684852732339,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "dGK4SkbHV_32"
},
"outputs": [],
"source": [
"pump_df = pd.read_csv('https://raw.githubusercontent.com/yy/dviz-course/master/data/pumps.csv')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "ETf0JhXDV_32"
},
"source": [
"`df` stands for \"[Data Frame](https://pandas.pydata.org/pandas-docs/stable/dsintro.html#dataframe)\", which is a fundamental data object in Pandas. You can take a look at the dataset by looking at the first few lines."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 206
},
"execution": {
"iopub.execute_input": "2020-05-17T21:06:47.628Z",
"iopub.status.busy": "2020-05-17T21:06:47.618Z",
"iopub.status.idle": "2020-05-17T21:06:47.654Z",
"shell.execute_reply": "2020-05-17T21:06:47.667Z"
},
"executionInfo": {
"elapsed": 8,
"status": "ok",
"timestamp": 1684852732525,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "zGYO51jUV_32",
"outputId": "db2760ce-83b1-4b0f-a1f9-e109f52d4227"
},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"death_df.plot()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "H3W83prDV_39"
},
"source": [
"This is not what we want! When asked to plot the data, it tries to figure out what we want based on the type of the data. However, that doesn't mean that it will successfully do so!\n",
"\n",
"Oh by the way, depending on your environment, you may not see any plot. If you don't see anything run the following command."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"executionInfo": {
"elapsed": 4,
"status": "ok",
"timestamp": 1684852744617,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "gpU22pmjV_39"
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "L-fpNQYZV_3-"
},
"source": [
"The commands that start with `%` is called [the magic commands](http://ipython.readthedocs.io/en/stable/interactive/magics.html#magic-matplotlib), which are available in IPython and Jupyter. The purpose of this command is telling the IPython / Jupyter to show the plot right here instead of trying to use other external viewers. "
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "T5xSTa1-V_3-"
},
"source": [
"Anyway, this doesn't seem like the plot we want. Instead of putting each row as a point in a 2D plane by using the X and Y as the coordinate, it just created a line chart. Let's fix it. Please take a look at [the plot method documentation](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.plot.html). How should we change the command? Which `kind` of plot do we want to draw? \n",
"\n",
"Yes, we want to draw a *scatter plot* using x and y as the Cartesian coordinates. "
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 467
},
"executionInfo": {
"elapsed": 236,
"status": "ok",
"timestamp": 1684852745073,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "ua7HqxqzV_3-",
"outputId": "f8384e7c-26c3-4975-8996-68c4c974762f"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"death_df.plot(x='X', y='Y', kind='scatter', label='Deaths')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "orVd0jffV_3-"
},
"source": [
"I think I want to reduce the size of the dots and change the color to black. But it is difficult to find how to do that! It is sometimes quite annoying to figure out how to change how the visualization looks, especially when we use `matplotlib`. Unlike some other advanced tools, `matplotlib` does not provide a very coherent way to adjust your visualizations. That's one of the reasons why there are lots of visualization libraries that *wrap* `matplotlib`. Anyway, this is how you do it. \n"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 467
},
"executionInfo": {
"elapsed": 9,
"status": "ok",
"timestamp": 1684852746794,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "xJjY_vASV_3-",
"outputId": "506e9547-11e7-4014-998d-2d637b0a1a11"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"death_df.plot(x='X', y='Y', s=2, c='black', kind='scatter', label='Deaths')\n",
"pump_df.plot(x='X', y='Y', kind='scatter', c='red', s=8, label='Pumps')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "Tm-WOGmxeVZ_"
},
"source": [
"Oh well, this is not what we want! We want to overlay them to see them together, right? How can we do that? Before going into that, we probably want to understand some key components of matplotlib figures. "
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "I3WkLGsOV_3_"
},
"source": [
"## Figure and Axes\n",
"\n",
"Why do we have two separate plots? The reason is that, by default, the `plot` method creates a new \\emph{figure} instead of putting them inside a single figure. In order to avoid it, we need to either create an [Axes](https://matplotlib.org/api/axes_api.html) and tell `plot` to use that axes. What is an `axes`? See this illustration. \n",
"\n",
"\n",
"\n",
"\n",
"A figure can contain multiple axes ([link](https://matplotlib.org/gallery/subplots_axes_and_figures/subplot_demo.html#sphx-glr-gallery-subplots-axes-and-figures-subplot-demo-py)). The figure below contains two axes:\n",
"\n",
"![multipleaxes](https://matplotlib.org/_images/sphx_glr_subplot_demo_001.png)\n",
"\n",
"and an axes can contain multiple plots ([link](https://matplotlib.org/gallery/api/two_scales.html#sphx-glr-gallery-api-two-scales-py)). \n",
"\n",
"![multipleplots](https://matplotlib.org/_images/sphx_glr_two_scales_001.png)\n",
"\n",
"Conveniently, when you call `plot` method, it creates an axes and returns it to you"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 449
},
"executionInfo": {
"elapsed": 166,
"status": "ok",
"timestamp": 1684852749490,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "LCXtKHnNV_3_",
"outputId": "d55f0eb2-7fee-420f-b0d2-a6be709b3bbd"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = death_df.plot(x='X', y='Y', s=2, c='black', kind='scatter', label='Deaths')"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"executionInfo": {
"elapsed": 10,
"status": "ok",
"timestamp": 1684852749491,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "HW1x9mSPV_3_",
"outputId": "1977941e-e753-4578-cf2d-e608fe4604d7"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ax"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "B3dp1tBFV_4A"
},
"source": [
"This object contains all the information and objects in the plot we see. Whatever we want to do with this axes (e.g., changing x or y scale, overlaying other data, changing the color or size of symbols, etc.) can be done by accessing this object. \n",
"\n",
"Then you can pass this axes object to another plot to put both plots in the same axes. Note `ax=ax` in the second plot command. It tells the plot command _where_ to draw the points. "
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 467
},
"executionInfo": {
"elapsed": 351,
"status": "ok",
"timestamp": 1684852751467,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "C1Q8tKHLV_4A",
"outputId": "3f46d485-8359-42f6-ea7b-006a31f4f3bb"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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cr0OHDqbXojUYzBAReRCDwYCNGzciOzsbAwcOxPz58xnQWKFSqRAeHo5bb73V6mGM5Ho+Pj6tzsiIGMwQEXkIo9GIDRs2YOvWraYaBL1ej5CQEIlbJl9t2rRx2oBK0mG4TkTkIfR6PXJycuDj44O6ujrExMRAq9VK3Swil2NmhojIQ2i1WgwcOBAAEBMTg4SEBE4xkVdgMENE5CHUajXmz5/P4l/yOgxmiIg8iFqtZo0MeR2G7URERKRoDGaIiIhI0RjMEBERkaIxmCEiIiJFYzBDREREisZghoiIiBSNwQx5NaPRCJ1OB6PRKHVTiIiohbjPDHkto9GI5ORkZGZmIjY2lgfyEREpFK/c5LX0ej0yMzNRUlKCzMxM6PV6qZtEREQtwGCGvJZWq0VsbCzCw8MxcOBAHshHRKRQnGYir8VzbIiIPAODGfJqPMeGiEj5eCtKREREisZghojIxbgFAJFrcZqJiMiFuAUAkevxL4qIyIW4BQCR60kazBw+fBjjxo1DREQEVCoV9u3b1+hrzp49i/vuuw/BwcEICAjA4MGDUVRU5P7GEhG1ALcAIHI9SaeZqqqq0K9fP8yZMwcTJkxo9Pm8vDz86U9/wsMPP4znnnsOQUFBOHPmDPz9/SVoLRFZMhqNXNreDG4BQOR6KkEQBKkbAQAqlQp79+5FXFyc6WNTp06Fj48P3n333RZ/3/LycgQHB6OsrAxBQUFOaCkRAawFISLXcmT8lu2Vx2g04vPPP0ePHj0wevRo3HrrrRgyZIjVqShztbW1KC8vb/AfETkfa0GISC5kG8xcvnwZlZWVWLt2Le655x58/fXXuP/++zFhwgQcOnTI5vPWrFmD4OBg03+RkZFubDWR92AtCBHJhWynmYqLi/G73/0O06ZNQ2pqqunr7rvvPgQEBGD37t1Wv09tbS1qa2tNj8vLyxEZGclpJiIXYM0MEbmKI9NMst1n5pZbboFGo0GvXr0afLxnz544evSozef5+fnBz8/P1c0jIvA4CCKSB9neSvn6+mLw4MHIyclp8PHc3Fx07dpVolYRERGR3EiamamsrMT58+dNjwsKCpCVlYWOHTuiS5cuSEpKwpQpU/DnP/8ZI0aMwJdffolPP/0UBw8elK7RREREJCuS1swcPHgQI0aMaPTx2bNnIyUlBQCwbds2rFmzBr/++iuio6Px3HPPYfz48Xb/DC7NJiIiUh5Hxm/ZFAC7CoMZIiIi5fGIfWaIiOSGp18TyZNsVzMREckJdzwmki/+JRIR2YE7HhPJF4MZIqL/09Q0Enc8JpIvTjMREaH5aSSefk0kX/xrJCKCfdNI4o7HDGSI5IV/kURE4DQSkZJxmomIFM1Zh11yGolIuRjMEJFiOXu5NA/OJFIm3noQkWJxuTQRAQxmiEjBWOdCRACnmYhIwVjnQkQAMzOyxPNfiOzH5dJExMyMzPD8FyIiIsdwlJQZFjR6N2bliIgcx2BGZljQ6L3ErNyyZcuQnJzMgIaIyE6cZpIZFjR6L2tZOSn2PHHWJnRERO7CK5XUamqA/Pz6f/8PCxq9kxyycswOEZESMTMjpQMHgAkTgPJyICgI2LMHGDlS6laRROSQlZNLdoiIyBG89ZdKTU19IFNRUf+4oqL+sVmGhryP1Fk5OWSHvB2LwIkcx8yMVIqL6zMyIkGof1xcDNx+u3TtIo9kbx2MHLJD3oxbMxC1DP9KpBIRUT+1pFLVP1ap6h9HREjbLmpE6XfK4gD55JNPYv369TAYDE1+vRTZIaX3sbNwawailmEwIxV///oamcDA+seBgfWP/f2lbRc1YDQasXnzZixatAibN29W5GCr1+tx4sQJ/PDDD9i6dSs2btwoq9+DRce/4TQfUctwmklKI0cCly7VTy1FRDCQcSN7p110Oh127dqFCxcuID8/H5MnT0anTp3c2NLW02q1iI6OxtGjR+Hj44Ps7GxZFfay6Pg3nOYjahkGM1Lz92eNjJsZjUZs2rQJGRkZGDp0KBYuXOjRg4ZarcaSJUugUqmQnZ2NQYMGyeqOX8xGZGZmMhuB36b5iMh+KkEQBKkb4Url5eUIDg5GWVkZgoKCpG4OycCVK1cwfvx4FBUVITw8HJ999hlCQ0Otfq154DNs2DAsWLBAsYGPnDfDc1fb5NwHRNSQI+M3MzPklQRBQFVVFYqKipCSkoKkpCSrg5tarcbChQsxbdo0WQyA4mAs/oE70iY53/G7o21ibc6JEycQHR2NJUuWQKPhJZDIE/AvmbxOSEgI4uLisGXLFvj7+yM3N7fJOg25BAHmg3FVVRUCAgIwcOBALt+1k3kh9NGjR6FSqZCYmMi+I/IADGbI66jVaiQmJkKlUiEnJ0d2NSS2iIWyRUVFKCoqQpcuXaBSqby6YNYRci+EJqKWYzBDXkmj0WDp0qWKqp8QC2UFQUBISIgpM6OEQEwO5F4ITUQtxwJgIgVpTc0M1WMRsLzw9SBbHBm/+c4hUhCxfkej0cj6ZHU57+gr9flX9JumNqV05D0k5/cbuQenmYjIqVp7vhDv1D1Hc6+l+aaUP//8MyZMmIDw8PAm30OW35PnWRHAzAwRtUBTd8KtOV+IRxt4DnGPpieeeAJ///vfG5wJZv7+EQQBOp0OP//8MxYsWACDwWDzPWR+ztgrr7zS5NeSd2Fmhogc0tx+LY7s6Gt5l82jDTyHmHU5e/YsvvrqKxiNRixbtgwATJmU/v374y9/+Qv+85//QK1W4+eff0ZBQQG6detm9T1kubxeEAQsWbKEO0gTgxkickxz+7XYe76QtekBHm0gDVdN7dXV1aG6uhoA8MEHH2DOnDnQaDSmgBUAXnjhBfz00084c+YMBg4ciKioKJvvIa1Wi5iYGNPy+pycHJSVlfE8K2IwQyR3YkoegCwKV+3Zr8Vyo0Frg6WtLIwzBybW3zTPPNMWExODhISEVu2MbN7nEydOxC+//IKqqipcvHgRKSkpSExMNAWsAwYMgEajwfvvv4/CwkJERUWZfra1zSrVajUSEhIgCEKDPaLksrElSYfBDJFMiUHMe++9h927dwMApk+f3uT5UOaBj1ardcnybUf3a7FVoGkrC+OsgYmFofaxNnWzdOnSFvWVZZ8vWbIE169fx86dO9G2bVvk5uaaMik6nQ4ffPABli9f7tDro8Q9osj1GMwQyZA4KKSlpSEnJwelpaUAgPT0dEydOtXqYC8uc921axcAIDIyEu3bt3fJkQcajQaJiYl2DSi2MjD2Tke1lJLqb+zNILki02Rt6qalfWXZ5xUVFVixYgVUKhWKiooaZFLUajVOnjzZoteHmRiyJGlIe/jwYYwbNw4RERFQqVTYt2+fza+dP38+VCoVXn31Vbe1j0gq4qBw9epVaDQahIWFoUuXLhg+fLjNLIher0d6ejouXLiAwsJCnDhxAkVFRS5b4WHvfi1iBiY8PLxRHYwr93xp6ufKib0ruFy10kucunn44YcxZMiQVu2MbNnnwcHBePvtt3HhwgXExMTg0UcfbVD/ooTXh5RB0sxMVVUV+vXrhzlz5mDChAk2v27v3r3IyMhARESEG1tHJB3xQg8AY8eOxcSJE5sd+LVaLYYNG4b8/HwADTMzUg4Urs7AyO3nOsreDJIrM032Tt00lxky7/Pg4GAUFBTgxIkTKC0thUqlQllZmanNSnl9SBkkDWbGjBmDMWPGNPk1Fy9exN/+9jd89dVXGDt2rJtaRiStllzo1Wo1FixYgMmTJwNwXc1MS0g1LWDt58qtKNjeFVyuXunV3Gsk7huTkZGBoUOHYuHChTYDGq1W2+CE97CwMKtt5nQROYusa2aMRiNmzpyJpKQk9O7d267n1NbWora21vS4vLzcVc0jcqmWXOjVajU6depkeuyNA0VTwYoci4LtDVylyGSY96VOp0NqaiouXLiA/Px8/OUvf0H37t2ttkPMIpWWliIsLAxPPfUUunXrJnlfk+eS9Ttr3bp10Gg0eOKJJ+x+zpo1axAcHGz6LzIy0oUtJCI5aa6uRK67xdpbO+TOc6Wa6svS0lKsWLECmzZtslq7Y14PM2jQIAYy5HKyfXedOHECr732GlJSUqBSqex+3vLly1FWVmb678KFCy5sJRE1x2Aw4Ny5cw22s3eV5oIV80F2wIABMBqNPDLBBrEvi4uLkZaWBqB+a4AhQ4ZAEARkZGQgNTXVtBWAOTGLtG7dOsybN4+BDLmcbN9hR44cweXLl9GlSxdoNBpoNBoUFhYiMTERt912m83n+fn5ISgoqMF/RCQNg8GAGTNm4N5778WMGTNcHtBYW01jfoaUOMiuWbMGQP3Nj7edAWXvCdNarRb9+/fHtWvXUFBQgI8++gjz5s3D6tWrERYWBpVK1eSNJk8nJ3eSbc3MzJkzMWrUqAYfGz16NGbOnImHHnpIolYRUVMs61UKCgpw8uRJ6PV6nDx5EgUFBejevbvLfr55XUlgYCA2bNiAnJycBnvttHaPEyVzpGZIrVZjypQpyMjIML1+ZWVl6N69O2bMmIH09HQMHz7cK/qN5E/SYKayshLnz583PS4oKEBWVhY6duyILl26NPoj8fHxQVhYGKKjo93dVCJqhrWBMioqCgMGDMDJkycRGxuLqKgol7dDXE3zyiuvYOvWrfDx8QGABgGLt54B5ejy7pCQEAwfPrxBP4mr5qZOnSqbFWFEkgYzx48fx4gRI0yPlyxZAgCYPXs2UlJSJGoVkWdz1dJkWwPlzp07UVBQ0ODcHVfT6/XIzs6Gj48P6urqEBMT02izPm/c48TRIM5WP3FJNcmNpMHMXXfdBUEQ7P76X375xXWNIfICrlyabGug1Gg0Lp1astWWgQMHAoDp8ETL39MbB+SW7l/kbf1EyiPbmhkib9LabIn4/ODgYNMKHmvFl67cRVZO2Q45tcUVWvN+YXBCnojBDJEEzFeUGI1G7NixA7m5uS06FFLMtpw4cQKVlZUoKiqCSqXCgw8+2GiXVql3kXUnW22xJxCQ2y7B5hzNrsn5dyFyFgYzRG5mfrp1cXExjEYjampqcOuttwKAw9kSMdtSVFSEgoICVFdXo02bNsjIyMC0adMafC9Pz1g0x55AQI67BJuzN7smBszvv/8+srKyZPm7EDkLgxkiNxNPty4sLIRer4cgCPD19UVNTU2jQlV7iNkWQRAQEhKCwsJCqFQqDBs2zOr3klP2xN3sCQRcORXnDPZk18SALC0tDfn5+ejQoQMAxwNlIqVgMEPkZuanW/v6+gIAwsLCcP/991stVG2O5UnFTdXMeDt7AgFrXyOnqRp7smtiQCa+Fzp27Nhgx2OpfwciZ1MJjiwnUqDy8nIEBwejrKyMuwGTbFjuwiqH3VLNi4jlctq2PRwNNBytmTEajdi4cSOys7NbVNMkBfOpsv79+2PkyJE4cOAAp5tIURwZv5mZIZKA5enWUjMYDNiwYQOys7NRXV2NgIAARQzcYv1Reno6hg0bhgULFth9WKM9X2M0GrFhwwabm+/JlZi9EWtmVq9ejfz8fGi1WllOnRG1FoMZIi8nZh62bt0KlUoFo9GIrl27QqVSyW7Qs8yq6HQ67Nq1CxcuXEB+fj4mT57scJAoZsmAxlNzer0eOTk5NjffkzPx2IasrCxcvXoVwG/77yjldyCyF4MZIi9nvlvujRs30Lt3b3Ts2FEWg5558AKg0Sqj1jIYDHjllVewb98+q8vZ7dl8T87E+h8AGDt2LCZPniz5dCaRKzCYIfJylgP2okWLUFFRIXnNjOUS6UmTJlldZfTggw8iIyMDw4YNcyiLJGaktmzZAp1Oh4CAgEbL2ZW+lN1W++VU0EzkDAxmPAAvTOQIy/eLtQFPDlNLlkukJ02a1GiVkVqtxsKFCzFt2jSH3/9iRsrPzw8+Pj4IDw+3upxdLv3RUpbtl/s+OkQtwWBG4XhhIkfYer9IMWA3F4RbLpEOCQlptAS9NcGXeUYqOjoas2fPRqdOnST5+2nNDYmjz5X7PjpELcFgRuF4YSJHyOX9Yk8QbmuKRKvVmo5viI6OxpIlS1p0GndzU0juyni25oakJc919ZEWRFJgMKNwvDCRI+TyfrE3qLKWddHr9Thx4gR++OEHHD16FCqVComJiS0KOKxNweh0OhgMBmzfvh3nzp2za4l6awKf1gSYLXmu0uuAiKxhMKNwvDCRI+TyfrF3S35r7dRqtYiOjsbRo0fh4+OD7OzsVmeYxCDmvffew+7du3Hx4kVcv37dtMy7qe9vMBhataleawLMlj5X6XVARJYYzHgAXpjIEebvF6mKx+2Z4tm8eTPS0tLQt29fJCYmmqaS1Go1lixZApVKhezsbAwaNKhVGSbzc4xycnJQXFyMa9euQaPRoLa2tsm9ZZyxqV5rAky5BKdEUmMwQ+SlpCwet9w/5sqVKwB+27ROp9Nh586dyM7OxjfffIOqqiqsWrXKFNBoNBokJiY6ZRAXp2quXr0KjUaDiIgI+Pn5ITQ0FHFxcU3uLeOsTfVac0PCmxkiBjNEXkuqYmCj0YhNmzYhIyMDf/jDH6BSqbB7924IgoC4uDgkJiYCqJ++uXHjBmpra7Fr1y4EBgY2qI1x1iBuubHcxIkTG3z/pgIlpW+qZw/zM7t4iCnJFYMZIi8lVTGwTqdDamoqLly4gJycHHTt2hVFRUWoqqpCcnIyACAxMREzZ87EO++8g4sXL6Jt27ZOqY2xxp3TPEraE8poNOLKlStISUlBTk4OqqqqUFRUZHWnZCKpMZghRVHSYCB3LRnEnd3/Pj4+GDhwIAoLC03Byocffoj4+Hg8/vjjmDJlClJSUpCbm9vq2hhLlr+Lq6d5lLQnlJg92759OwoLC9GxY0fU1dXh+vXraNOmTaOdkomkxmCGFENJg4FSODKIO6v/Q0JCMH36dKSnp2P48OGYO3cu4uLiMHPmTJw/fx5FRUVISUlBUlISQkNDkZSU5PQAVvxdWrtXjSPkssePPfR6PTIyMlBSUoK6ujrU1dWhb9++KC0thUqlsrpTMpGUGMzIWU0NUFwMREQA/v5St0ZyShoMlKip06MB5/W/Wq3GggULMHXqVFOAEh0djUmTJmHLli3w8/NDbm6u6fu7osDVfK+agwcPoqqqCitXrnRpQOPotJ6UWUitVouhQ4ciPz8fABAXF4fFixejrKwMAGtmSH4YzMjVgQPAhAlAeTkQFATs2QOMHCl1qyQllw3fPJE4rZCamgoAmD59OhYsWNBofxdn9b9lgKJWq03Fvc5Ybm2LeTFrjx498Omnn6KyshKbNm2CIAgNVkw5myPTeu7OQlo7r2vhwoWYMmUKgN+CF3HfHSK5UQmCIEjdCFcqLy9HcHAwysrKEBQUJHVz7FNTA4SGAhUVgCAAKhUQGAhcuuT1GRrWzLiGTqfDokWLcOjQIQDAnXfeiddee61RRsTV/e/s72+5BDw5ORnHjx9HZGQkHnnkEYwfPx7Z2dkAgPDwcMyfP7/Fuwk7k06nw7Jly1BSUoLw8HCsW7fOZVlITt+SXDkyfjMzI0fFxfUZGZEg1D8uLgZuv126dskA99RwDfNpBZVKheHDh1vNjLi6/535/c2XgA8dOhRTpkzB8ePH8cUXX6C6uhqnTp3CrFmzsH37dvz666/w9/d32YopR7kzC2nv9CFvJEjOGMzIUURE/dSSZWYmIkLqlpGTyG1gsDWtoGTiEvCioiLk5OTggQceQGRkJKqrq2E0GvHzzz9j3bp1mDZtmstWTLWUO3f2tfdoCWZvSM4YzMiRv399jYxYMxMYWP/Yy6eYlMpgMKCgoABRUVHQaDSyHRjkXBNh2Yf2EgTBtD/Kjh07sHz5cpw+fRpnzpzBwIED0a1bN2g0GpesmGotd2Uh7QmcWHxPciePv1pqbOTI+hqZvLz6f2Vc/CturnXlyhUYjUapmyMrBoMBM2bMwL333osZM2bAYDBYHRjINrEPx44di0mTJuHGjRsNPi+uwrJ874WEhCAuLg4hISHo1KkTcnNzUVVVhQ8//BCff/453n333QbnPbU0G2Xr5yuJ5e9v+TuJ2Zvw8HAW35MsMTMjZ/7+sq+RMRgMeOWVV7Bv3z7uDGpFQUEBTp48Cb1ej5MnT6KgoADdunXjqqxmmC8Tv3r1qin4Ky0txYoVK7B06VJTFslWlktcIaVSqZCTk2OaQlKr1ejevXuL22WewZB61ZGrfoa134kHWpKcMZihFjMajdi4cSO2bNkCnU6HgIAAl+8Mas/FvLn9UtwpKioKAwYMwMmTJxEbG4uoqCgODM2wXCY+btw49OzZ07Rh2/bt23Hw4EHEx8dj8uTJTU5/aDQaLF261Cl9bW2Qd+f0i7sCJ1u/E4vvSc54FaUW0+v1yM7Ohp+fH3x8fNCpUycMGTLEZZkG8WK+bNkyJCcnW03riwPh+PHjMX78eGzevFnS9L9Go8HOnTvx2WefOW1aw9OJu89euHABZ8+exVtvvYXBgwdj3rx5uOWWW1BXV4eSkhKkp6cDQLPTHy3ta8upFmuDvDunX9w1PckpJVIiZmaoxcQTgwVBwNWrV9GuXTuXDs723AWbD4QAkJ6ejqlTp0p6R6nRaFo8reEp7J0eMRqNMBqNGDJkCHJyckxLpT///HPs2bMHt9xyC/bt2we1Wo3hw4cjJCTEJVkua1kQa6t+5LbqyBnMf6fg4GCbWU65rcgj78ZgxkO56kJj+X3nz5+PvLw8rF27FqWlpab6EFcED5YXc/FCa/472rtfCrmP+TlIMTExSEhIMGWorG1ql5mZif79+yMlJQWzZ882TS+Jq47mzJkDoOHg6orjDqwFztYCFzmtOnLmz9Jqtdi8eTN27doFAA3q4eS6Io+8F4MZD+SqC42t79utWzcMHDiwySDDGcwv5oGBgdi4cSOys7MxcOBAU1vkvF+Kt97Jmp+DdOTIEVRUVOCxxx5DSEgI3nrrLdP7adKkSaYAAgCmTJmC+Ph4ZGRkYNiwYW7dUt9WFqQlgYu9dV72vDfcWbei1+uRnp5uynKa18NxqTbJDYMZD+SqC01ThYHmaWnzAcrZd2ziHeP69euxdetW+Pj4mNom/o5y2y9FrL344IMPTIXA3nQnq9VqERMTYwpkNm/ejC+++AITJ05Ebm4uSktLkZmZiUmTJjUIIEJCQrBw4UJMmzbN7QGgs7IgBoPBatBtTq5ZDq1Wi2HDhpkOmzQ/KZvnpJHcMJjxQK660DT1fcU7Rp1O5/I7Nr1ej5ycHPj4+KCurg4xMTGyvZiKA1VaWhry8/Oh1Wq97k5WrVYjISEBVVVVePfdd3H16lWUlJTg9OnT6NevH1QqlSl4sRZASNVPrc2CGI1GbNiwwWbQLZJrlkM83Xzy5MkAGmY5LYM9AC7JxhLZi8GMB7J1V9naaQ57vq877tjEwmMAphoMuV5AxYHq6tWrAOrbPmDAAFOhq1zb7WwajQbPPPMM2rZta9qTaPjw4Zg3bx7KyspkEbw4m71Bt5yzHOZZTnFzTOC3wCYkJES2mSXyLjw1W6ZccXqwu+poALhlYy8l1J+Y98+AAQMwceJEfPTRR1453QTIaw8gV7BW0Gyt8Lmp58mxT4xGo81iYHee8E3ehadmK5z56o/o6GgsWbLEofNorHF3HY2rL2ZK2cDLMpsl7gQstykFd5FbPZMzWQvs7a27cdX72VlBUlPFwHLOLJH3kPQW4PDhwxg3bhwiIiKgUqmwb98+0+fq6uqwbNky9OnTBwEBAYiIiMCsWbNQXFwsXYNdyHyDLvPVH1u3bsXGjRtbvfGbqzbCUvoGW2K/GwwGl52vY75pm1z7q6nzhTzh7KHWsuf8MWuBvZSbI9qzyaS9xGLgyMhIREZGNigGFgP2devWYd68ebLMLJHnkzQzU1VVhX79+mHOnDmYMGFCg89VV1cjMzMTK1euRL9+/aDX67Fo0SLcd999OH78uEQtdg3LTMzixYsRHR2No0ePwsfHx7RxWGvu3Fy1R4Uct+a3dynslStXkJKSgpycHFRXVyMgIMDmihNnkWt/bdq0Cenp6ejbty8SExMb7APj7fUQTU2xmE+byS1D4cxsbFPFwOLnvSnDSPIjaTAzZswYjBkzxurngoOD8c033zT42Ouvv44//OEPKCoqQpcuXaw+r7a2FrW1tabH5eXlzmuwi5hnYo4ePQqVSoXFixdDpVIhOzvbdECeI6wN6K664MjpQmbP4CsO3tu3b0dhYSG0Wi0EQUDXrl2hUqlcPvUjp/4C6lehpKam4ueff8bXX38No9GIZcuWQa1WS7LSRm71I7amWLRabYMzpKZPn261oNkZWlJr5OzgypOnCEn5FFUzU1ZWBpVKhQ4dOtj8mjVr1uC5555zX6OcQKvVNsrEVFRUIDExsUUXdW++m3bkyIOSkhLU1dXBYDCgb9++6NixoyzuqKVQV1eH6upqAMDHH3+MRx55BJ06dXJ7tsEV9WKtZWu/FWccnSEGbmKRo7W/9aYyQ02RYxaQyFUUE8zU1NRg2bJlmDZtWpNVzcuXL8eSJUtMj8vLyxEZGemOJraYWq3GkiVLGmViWnoHL9d9Kyy54g7cnsHX/MgDAIiLi8PixYtRVlbmlDbIia07evO+DwkJwQMPPICCggIYDAbTniiA6wdEy/eA5W7B1dXVeOaZZyQNaGxNsbT26AxxQ72zZ882Oc3ZVPGtPW2X498+kbPZfYUoLi5GRESEK9tiU11dHSZPngxBELB58+Ymv9bPzw9+fn5uapnzaDSaFmdiLEk5d+/IgYLOyB5Z/jx7Bl/LIw+0Wi10Oh1SUlKQm5vr8roZdzG/o6+rq8OsWbPw2GOPAUCjvl+6dClUKhVOnz5tOsBR5MwB0dbSZTELI2Ypxd2CU1NTERAQgMTERElfD2tTLK05OsN8Qz21Wo2bN2/anOa0zAwNGTLE6/YpImqO3cFM79698cYbb+DBBx90ZXsaEQOZwsJCfPvtt4raK8ZRzho0nHU37WjmxJEpAkezR9baYisgsqcfxcFJHPBTUlJQWFhoGrDkms1qjnk/6fV6pKWl4ezZs7hx4wZ27NiBqVOnQq1WW+37pKQkl05JWB44OWvWrEa1YomJiViyZAmqq6uRmpoKX19fpxTAu0pL60jMN9S7ceMGevfubXOa0zwzZDQa8dFHH2H58uVeN4VM1BS7g5nVq1dj3rx52Lt3L95880107NjRle0C8Fsgc+7cOXz33XeyvJjJVWsDI3vPlLE1RWA+OFm72DqSPbIVJDljOk1M4Yv1M7W1tZIfj9DS6TexsDkjIwNDhw7F/Pnz0bdvX1MhvRhYNnuIYk0NUFwMREQA/v5O+z0s3x83b95Ejx49rK7ae+aZZxAQENDiAni5s9zFetGiRaioqGgym9ipUyfodDqv3qeIyBa7g5mFCxdizJgxePjhh9GrVy9s2bIF48aNa9UPr6ysxPnz502PCwoKkJWVhY4dOyI8PBwTJ05EZmYmPvvsM9y8eROlpaUAgI4dO8LX17dVP5tss+dMGWtZEWuFzLYuto5kj2wFSc6YTjNP4RuNRvz1r3/F3/72N8mKJlsz/SauSrpw4QLy8/MxZcoUJCYmAkCD6aMm+/7AAWDCBKC8HAgKAvbsAUaOtLvtllNIlu+PmJgY0/vj3LlzeOmll6BWqxsFLc6cdpUja6+BPUGJ3JZ/E8mFQ1V1UVFR+Pbbb/H6669jwoQJ6NmzZ6NphMzMTLu/3/HjxzFixAjTY7Fwd/bs2Xj22Wexf/9+AED//v0bPO+7777DXXfd5UjTyQH2nCljKytirZDZFkcu4LaCJPMBwWg0Ii8vD1FRUXYXjIop/IkTJ5r2nImPj3fLnjPWOKt4W6VSAagPCqxNH1nt+5qa+kCmoqL+cUVF/eNLl5rN0Fhmz2bPnm3190hISIAgCMjJycGgQYPQqVMnm0GLpxevtuT3sxYEefoREUT2cHiJQGFhIfbs2QOtVovx48e3apXBXXfdhaaOhvLwY6Nky56DHG3dIbrijtrWai/xcyEhITAYDJgxYwZOnjyJAQMGYOfOndBoNHYtfVWr1dBoNDh37hwuXLiAwsJChIeHA3B/7Uxr7rxDQkIwffp0pKenNyjitXvQLC6uz8iIBKH+cXExcPvtTT7VMnsmCAIGDBgAAI3eH0uXLpXNydhKZP56tnTZNpGnceigyS1btiAxMRGjRo3Cm2++qYgNlJR60KTU7N1F153TAJbTGOZ3o3l5ebj33ntNn//ss8/QrVs3U7agqqqqyWyLmFk4fvw4Tp06hYqKCsTGxpqCIndqTb+2pt5GX1KCjr16QVVRAQgCBJUKQvv2QGkp1O3aWX2ewWBAXl4egoKCsGPHDmzbtg0+Pj4YMmQI1q5da1rC7Kr3h5w22JOiLTqdDosWLcKhQ4cAAHfeeSdee+01pweHcupnRzmz7UruByVyyUGT99xzD44dO4bXX38ds2bNanUjPYEnv7HtXRHkrjtqy0BG3Hm1rq4Os2fPxty5czFgwADTadRRUVGmKZuioiLTrtG2dvgV0/d5eXlYs2YNLly4gICAAJSVlbk9a9CafrX3ubbqW8bNno37tm+HqrwcN/z88M8//QntUlKsBoAGgwHTp0/Hd999h/bt22PRokWYM2cOcnNzMWjQIJdPechpc0ip2mK5bLtPnz4IDg526s+QUz87ypltV3I/eAO7g5mbN2/i9OnT6Ny5syvboxie9saWc2Bm2deTJk1Cenp6gyXHU6ZMwc6dO1FQUGCqmRGnbARBQEhIiCkzY2vqRq1Wo1u3bhg0aBDUajViY2M9cj+Ppupb9oeFoff330N7/TpWvPEGLly5gnAbtTsFBQU4ceIEysvLUVVVhaNHj2LTpk0uz8aI5LQ5pFRtsaz5ys3NxVtvveXU65Gc+tlRzmy7kvvBG9gdzFiek+TtPOmNLffAzLKvJ02ahD59+jRacqzRaNC9e3fT88yLJZuqmTEnPken0+H999/3mP08zItEATTYZbeqqgp9+/aFIAioqqrCmo0bMWDAAPQZPBiGkydtBoBRUVEYOHAgysvL0b59e9x5551uLUDVarXo378/rl+/jjvuuAMGg0GywNNarZO7bhDMa75KS0udfj1S8goqZ7Zdyf3gDRRznIHceNIb212BWUsv7pZ9HRIS0uSOtebMp13s/Z3EjfeysrIa9YkSV46IRaI7d+40TQ316NEDR44cQWVlJXbv3o2HH34YTz75JF5++WWUlpYiKysLa9aswdSpU22+XhqNBrt27UJeXh46dOiATp06SdIfubm5SEtLwyeffIIZM2ZgwYIFbm+H5SojoPHSdPPNHp39HmrqetTaoMpZm3BKwZltV3I/eAMGMy3kSW9sdwRmrcn+WOtrtVrt0h1rLfskODgYly5dwtatW/HZZ58BqD8l2drAKdWUna1BUtwJODs7G7W1tdi+fTs+++wzXL9+3bTLbm5urmkHWvOgsbn2azQaREdHu/x3s0Y86LG4uBjXrl1DbW0t0tLS8Ne//hXdunWTJKARA2adTtfgBkGn00GtViMwMBAbN27Evn37oFKpnLb6qKkl2x988IGplqylGUalLpN39t+iUvvBGzCYaQVPeWO7IzCzJ/tjvoxar9cD+G1QttbXrux/yymqN998E9u3b0d+fj4MBgMCAwOtnpJsuWV/QkKCS1ZDWV6kLZfo3nfffVi6dKmpdqhv3774+uuvUVtbi19//RVvvvkmnn76abRr186054vlvj1yD9DF4te8vDz4+fkhNDQUBoMBa9eulfx8LfNguF+/fti2bRtycnKg1+tx+vRpXL16FQEBAQ4dGtkcyyXbycnJSEtLQ35+PrRareKnw0WOnv/m6r9Fkge+sgTA9YFZc9kf8wtPZWWl6YRgW9kPZ7J1cRT7RKfTmY48EE+VDg8Pt3pKsrX9VpYuXerU9lvLcpmfrFxZWYlLly6hpqbGdOJ0YmIiqqqqsHPnTly/fh3vvfce1Go1nn766Ubb6Dd3RpZcptnE4lfxzKJr166ZpsmkHrjNa6+2bduGbdu2Qa1Wm94/Pj4+iIiIwLBhw1ySCRVvHq5evQrgt72jlDwdDjiW4XXH3yLJB4MZcjkxWJg7d67NIlzzZdQFBQW4fv061Gq1y6cN7Lk4Wi5/HTduHObMmWO1RsRyy37xbtyZg6q1LJfYxpycHBQWFpoOamzXrp0pQ7Nq1Sqo1WqkpqaioqIC7777LoxGo+njthgMBhQUFCAyMhKvvfYaPvnkEwDy2KBNrf7toMdOnTph4MCBOHHiBLp37y5pQbDYNrVajdzcXNOBkr///e9N75HZs2e7rM5IvHkAgLFjx2Ly5Mmmw0dtZTTEQFXsM6mDVWscqe9zx98iyQeDGXIpe++kzJdRd+zY0ZSZuXnzpkunDey5OJpnAICmMxJqtbrRlv3Ovhu2luUyX6K7adMm7N69G76+vg0u4BqNBs888wwEQcDmzZtRUlKCzZs3AwBWrVplNQVfU1ODBx54ALm5uWjXrh0qKytx9epVtG/f3q4pEnfWD6nVasydOxevvPIKPvnkE3zyySeSB1yOHijpLI4WJF+5cgXbtm3D/v37UVpaivDwcLdkRR3lSH2fO/4WST4YzCiYnPeGEdl7J2VZo6LX63H16tUG0wZiEaUzf1/x4ijuuRIYGAidTmd1ysneHa9tbdnfFEdeS1s1Tmq1GqGhoVi5ciUCAgKsXsA1Gg0WLlyITz/9FNnZ2aisrMSOHTsQEBCApKSkBj/bYDDggQcewNdffw21Wg1fX1+EhoaaptmamyJx15J/874rKyvDTz/9ZAqGnVmT0hLWXit3taW5gmSgvu8++OAD7NixAwUFBbhx4wZu3ryJGzduWK0Jk5qj9X0t+Vt0BiVcmz0NgxmFkvveMCJH76TEC2enTp0QEhKCAQMGID09Hd26dcPbb7+N8+fPOz1L88ADD6CsrAwnT57EzJkz0b59+1b/jOYGLWs78J44cQI9evRAfHx8s9MPTX3/5i7gnTp1wpw5c7B161acO3cO165dw0cffYT4+HiEhoaavq6goAC5ubmmAuOuXbti8ODBiImJsauN7ljyb/l3MHfu3AZTgkOHDpV840M5LBQw/zvs378/3n77bXz66aeoq6uDIAgoLS2FwWCAr68v2rdvj4iICKs1YXLgaH+6u/+Vcm32NAxmFEopm/a1dqWUIAjIzc3F0aNHcf36dVN2xBm/r3jR+f7775GWloba2loYDAb07dvX5rEHrflZ1oKXmJgYzJo1CydOnEBGRgY+/fRTfPTRR5g9e3arpkeauoCr1WosXLgQI0eOxMyZM3H+/Hn88ssveOONNxpMN4mb4gFAjx498OGHH+L69et2v462NpJrbQGxeV9a/h2UlZWZptv++9//Yv/+/XjqqackX90kNfOC5K1bt2Lr1q3Q6XQICAhAWFgYwsPD4ePjg/vuuw+zZ8+GRqORZc2MEijl2uxpGMwolD2rg+SS5mzpnZFer8cPP/xg2kfEx8cHtbW1iImJccodo3jRuXz5MqqqqqDRaNC+fXvceuut6NGjh9MKSC2XiIrBi7jKwmg0okePHjh06BDq6upQUlLi8ukRtVqN6OhoTJw4EVu2bEF1dbVphZO4Akqj0TQ6IqKdjQMnbf0M86lDcVfl1NRUAPYXENs6Ryo2NhaPPPIIoqOjIQhCg4ApJSUFH330EQoLC50aACuZWJB87tw5+Pn5wcfHB7feeitmzJiB0aNHo2PHjpJtfOhJPGlDVSVhMKNQTWU8PCXNqdVqMXToUOTn55v2EYmLi0NCQoJTfh/Ls5vatGmDIUOGoLq6Gnv37sW+ffucUkBqvkT0yJEjKC8vxx133GFaZZGbm4uXXnoJAEybqblqya45tVqNpUuXoqamBqmpqaisrMSuXbtQXV2NF198Eb6+vo2OiGjJz9BqtaY9T3JyclBaWgrAvnoWy/fyAw88gLS0NFy9ehWCIKCiogKnT59Gnz598OijjwIANmzYgC1btkCn00EQBNTW1qJHjx6STzfJgViQLAgCrl69irZt2yItLQ0//fSTKXtFreOOfbuoMQYzCmYr4+GKNKcUmR5xOmTKlCmNlouab7Bnz5lLtr6/5dlNRqMRCQkJ+PXXXwHYX0DaVP+IS0SPHDmCiooKvP/++5gzZw4eeughnDt3DoMGDUKnTp2QlJSEOXPmAHDfHi7iCicA2LVrFy5fvozNmzfjzJkz2Lt3L3x9fVv9M8z3PBGLhzUajdWAzbIfzd/LJ06cQEVFBfLz81FXV4f/+Z//wb59+/Drr7+ioKAADz/8MNRqNXJyckyZh65du+KBBx5Au3btPOacrdYQ3/N5eXlYu3atXSfKk+PkUCflbRjMeCBnT0FJmemxtorIfNqmqqrKdBp2S9plftERz14yLyC1J0Ni3p7u3bvjoYceapCuF5eIiucg+fr64ty5c1i7dm2j1Vn2rphyJjGgqa6uxubNm3Hjxg0cPnwYK1aswJo1a1q9a6rlnicTJ060uo+JtWJeo9GI/v37AwCio6Nx9uxZlJWVoba2FtXV1abnqlQq088yr/OJj4+HWq3G8uXLWcPwf9Tq+tPhxX6y50R5IrljMCMjzsp+OGMKqqkiS6kHA/MN9sS7SgDIy8tr9eZ6juwpY94e8wLejz/+GBMnTkRiYmKDE71XrlyJ9u3bIzs723R8gFwyBBqNBi+++CLOnDmDw4cPQ6VS4eOPP8Ytt9zSaMl2U2xlzOxJu1tmYTZs2ICcnBz06NEDq1evRkhICDZu3Ijvv/8e/v7+uHjxIuLi4vDTTz+ZDhu19rOMRqMpuI+NjeV0E2yfKA/A6tYERHKnEgRBkLoRrlReXm76Yw0KCpK6OTa5K/uh0+mwbNkylJSUIDw8HOvWrbN6RpKYaYiOjsbixYvx9ttvmzI98+bNk/RCZ5mZadeuHaqrq1uVoWlte9avX4+33noL//3vf6FSqRASEoK5c+c22j5dToXZ1ty4cQNPP/00tm/fDoPBgJ49e+KTTz6xK2PU2oyZ+d+AmIU5duwY6urq8MgjjyAxMRFGo9EU5AwaNAiPPvqoXdOM4iqq999/H1lZWV4/3WSNO65Bcn//k7w4Mn4zMyMT7sp+2FNpb3mmiUqlQkJCQotrU5zN8q6yoKAAa9eulexMHrVajSVLlkAQBHz00UcoKiqCv7+/1e3T5T6X7uvri6SkJBw+fBglJSWm6Rt7WMuYOVKHYfm6btiwAd9//z18fHyQnZ1t+j6We+jY+73VajWysrJkk2GUG1dfgzxlYQLJE4MZmXDFcj5rd0H2pPy1Wi2io6NNq22ys7NRVlYmqwu/+SAmzv+7aymktX7VaDRISkpCfHw8UlJSkJubq9jt0zt16oTZs2cjPT3dNH1jD8vVYfbWYVj2p/jzlixZApVKZZqWE79PSwNCLpltmqv7R27T1eRZOM0kI85MwdpzF9TUBmYGgwEbN240DSRSTy01x13pa3v7Vemp9JYUiZvXX9i7yqy5/nR2X3rCa+NKruwf89daDtPVJH+cZlIoZ05BNHcXZDQasXnzZuzatQuCICAuLq5RwWpiYqJiLvzumr6x92BKcWWUTqdr1fJxqdjqT2uDna2AxJ7Xo7n+dPbrKsdpPjkFWK7sH+6/Qq7EYMZDNZcy1uv1SE9PR1FREaqqqvDWW2/h+vXrpt1fAXle+KVmbyremcvH5cJoNGLTpk3IyMjA0KFDTZsJtmb6wNaRB95yMKC31ZHwmkKuwmDGQ5mfxWKNVqvFsGHDkJOTg8LCQlRXVyM1NRWCIGDhwoUu29ZcTnehLeHoMmOlb0pm/nrpdDqkpqbiwoULyM/Px5QpU9CpU6dWBSSW/QnA7YO7lAEF60iInIPBjIf78MMPTUuslyxZ0iDrIh7It2nTJuzevRvl5eXYvHkzPv/8c0yaNKnBtJMzeMpdqD13ly0thpUTa0cJiMxXObUkILFV9KvT6dw+uLsyoGjuYE0WJRM5B4MZD2ZtiXViYmKDlU2hoaFYuXIlVCoV3n33Xeh0OuTl5VmddnJGexwdNJSaybG1KZlcfwdr/Wz5ek2aNAnTp0+3usrJnoBEHNgNBgN27NiB3NzcRlNvUgzurjzdW6xLq6urw6xZs/DYY481+F6sIyFyDgYzHszaEmtrAYS4nb2/vz8+/vhjFBYW4vr160hNTUW7du0abfzWmvY4MlApPZNjeVSCXNnqZ8vXKyQkBAsWLMDUqVObHHhtBQebNm1CamoqLl68iOvXr1s9zVqKwd1aZklsKwBMnz4dCxYscLgter0eaWlpOHv2LG7cuIEdO3Zg6tSpjTYgZB0JUesxmPFg4mZu1vbqsKTRaPDkk0/ioYceMk07+fr6Wt34rTXtcWSg8vR6ArkUutrqZ1uvV3OvgbXn6XQ6ZGRkoLCwEHq9Hr6+vqitrUVMTAyCg4MbbKEvxeBumVnKyMjAhQsXAADp6emYOnWqw23SarXo27cvvvnmGwBw6pQtETXEvy4P58gSa/Npp4CAANOW8c5M9TsyUHlqPYFUW+vbm4Ex7+eWBhaWz9NqtRg6dCjy8/Ph5+eH0NBQxMXFYdGiRXjrrbdklX0zb6tKpcLw4cMb9Ikjxc2JiYkAgNOnTzu0ASEROYab5pFVcqlVkUs7HGWr3WJAkZaWhvz8fHTo0AERERFWz8hytqbO5XJHP4tBnHjIY0hICPR6fbNnhUnBVs2M+PodP34ckZGRWLFiBXx9fZv9Xkp8DxNJjZvmUavJZR5fLu1wRFO1PuKUjl6vB/BbXVNwcLDTfratgdMVGRhHqNXqRvUittokdQBgra1A/et3/PhxfPHFF6iqqsLx48exd+/eJgMaZ/et1H1DJEcMZoicrKlaH/PBe8yYMaisrER2djbeeuutVk+xNFcw7UjNUkuPM3B0gLXWJvOjNOS20aBWq0VkZCSqqqpQW1uLI0eOYMWKFVi6dKnL9mYyp/SieCJXYTBD5GTNZUDEwdtoNGL58uUtPu3bMoBw5KiF5r6vIwNmawdY8zYZDAa8+OKLSE1NNWU75FT4rVarsWLFChw/fhxHjhyBSqXC9u3bcfDgQUycONHpezNZ8vSieKKWYjBD5GTNZUDMz24Sg54BAwbAaDSa6kmaYy2AcFbBtKMDprMGWKPRiA0bNiA1NRUVFRUIDAxEdHQ0DAYDrly50uL9XpzN19cXe/fuxTPPPIOPP/4YV69exblz57BlyxaoVCqnbWVgSXx/DBgwAAA8qiieqLUYzBC5gD0ZEPMjJz744AMsX768UWbDViGqrQDCGXu0OHo8gTODqJycHPj6+iIwMBDTpk2Dr68v7r//fgAt3+/FFXx9ffHSSy8hJCQEH374IYqKiuDn5+fUrQzMmZ/11aNHD6xevdot01pESsFghkhC4r4qJ0+etLpjrq3N22wFEM4oNnX0eAJrmaiW1NBotVoMHDgQABATE4NZs2YhMTGx1fu9uIpGo0FSUhLi4+ORkpKC3Nxcu7YyaEnfmO/mfeTIEVRXV7v0DDUipWEwQyQxW4GJXq+3uXmbq3fKdfS8JPOvb2kNjbUgqqn9XuRA3JspKSnJ7sJq8wxLfHy8XQGJVqtFTEwMjhw5gvLycmzatAmffPIJpk6diqVLl3JDPvJ6/AsgkpitwKS5zdvctWzd0Wmk1tTQWP5OCxcuxJQpUwA4dkaSM85WcoS9r4WYYcnIyMCnn36Kjz76CLNnz8bChQtttlHM5CxatAhVVVXYsWMHSkpK8PPPP2P9+vWorq7GqlWrFBvQcKk5OYOk75zDhw9j3LhxiIiIgEqlwr59+xp8XhAErFq1CuHh4Wjbti1GjRqFc+fOSdNYIhcSB0PL6ZuFCxfik08+wb59+yRbhisGW+vWrcO8efPsyiLExsYiPDy81UWq4n4v1rIX5pvwWX5806ZNGD9+PMaPH4/Nmzc3+hqpiPsK1dbWoq6uDqWlpcjIyDDtO2T5O4mZnGXLluHtt9/G008/jRkzZiAgIAAAUFVVhZ07d+Lpp5/GjRs3Gv08W30kF+a/X3JysmzbSfInaShfVVWFfv36Yc6cOZgwYUKjz7/88sv4xz/+ge3btyMqKgorV67E6NGj8fPPP8Pf31+CFhO5l63N26RohyPZFVcfFtncxoTOOFvJFcTz0gRBwCeffAIAGDZsmKnIWpyCiomJQUJCAsrKyhpkuSoqKrBq1Sq0bdsWH3zwAX799Vf897//RXJyMs6dO4cPP/zQlKFRwp40XGpOziJpMDNmzBiMGTPG6ucEQcCrr76KZ555BuPHjwcA7NixA6Ghodi3bx+mTp1q9Xm1tbWora01PS4vL3d+w4lkSi4pe1dPgTW3MaGca23MC4evXbuGbt26mQ7jFIt8jx49CkEQsGTJkkZTfGq1GsuWLcOcOXOwfv16vPnmmxAEAWfOnEFeXh46duxo+llyCBTcsRKOSLaTrAUFBSgtLcWoUaNMHwsODsaQIUNMd1rWrFmzBs8995y7mkkKIZdB3pUMBgM2bNiAnJwc2e2c62zNbUzY0lobd/r4448b7RMUExODo0ePwsfHBzk5OSgrK7Oa5RILj1evXo3z58/jzJkziI2NxVdffYX33nsPADB16lTJ96Rx5q7URE2RbTBTWloKAAgNDW3w8dDQUNPnrFm+fDmWLFlielxeXo7IyEjXNJJkpbnDHV2Zbnd3wam1n79x40Zs3boVPj4+ANy3c64UgaI9GxPKYXrOFluZpYSEBAiC0ODE+qayXL6+vvjwww9RUFCAoKCgBkvZjx07ho0bN2Lq1KmSBQrNTSN5w00GuYdsg5mW8vPzg5+fn9TNIDez53BHV6XbjUYjNm/ejF27dkEQBMTFxbl8W3tLer0e2dnZ8PHxQV1dHWJiYtxyJ97SQNEZg5gSDyEV2cosaTQaLF26tFHfNNVfGo0G3bt3h9FoxLBhw5Cfnw+gvhZH6qxUUxk0JdT0kHLINpgJCwsDAFy6dAnh4eGmj1+6dAn9+/eXqFUkV/Ye7hgbG+vQsQHNMRqNyMvLQ1paGoqKilBVVYUtW7ZArVYjMTHRbRdnyw3nEhIS3PKzWxIochBrOrNkGaTZ219qtRoLFizA5MmTATTMEEqVAWnq92TxLzmTbIOZqKgohIWF4cCBA6bgpby8HD/88AMWLFggbeNIduw53FGn0+H9999vdGyAeKEPDg5GWVmZQydFi6tPDAYDwsLCTNvaZ2dnu/XiLFXtgXm/23u+FAexeo7sTWNvf1mbXpO6lsrW78niXw9RUwMUFwMREYCEq4wlDWYqKytx/vx50+OCggJkZWWhY8eO6NKlCxYvXowXX3wR3bt3Ny3NjoiIQFxcnHSNJlmyp4ZCrVYjKyvLNCiI+2+kpKQgJycH1dXVCAgIsPuCLw4ypaWlCAsLw7vvvov9+/fbva29s0kx7WLP+VKWLAex4OBg6HQ61k3Y0JpBX8paquaw+NcDHDgATJgAlJcDQUHAnj3AyJGSNEXSYOb48eMYMWKE6bFYuDt79mykpKTgySefRFVVFebOnYtr167hT3/6E7788kvuMUNW2RrMzTMv5lmE9957Dzt27EBhYSG0Wi0EQUDXrl2hUqnsuuBbDjLR0dF2b2vvSZo6X8rW14uDWHBwMN566y2vnnJqTmsGfalqqeyl5Lonr1dTUx/IVFTUP66oqH986ZIkGRpJg5m77roLgiDY/LxKpcLzzz+P559/3o2tIk9iWW8wd+5clJWVwWg0IiEhAaWlpairq4PBYEDfvn3RsWNHu06KBmwPMo5cnD1lNYej2QNxELM890mn05kO0lRyfzhbSwd9qWqpyAsUF9dnZESCUP+4uBi4/Xa3N0e2NTNEzmBZb1BWVmY6kVrcWA0A4uLisHjxYlRUVNh1UrRIHHhbEpB4UiGsrcCuuWDNPAjq168ftm3bhtzcXI/fJ8ddOJVDLhMRUT+1VFFRH8ioVEBgYP3HJcBghjyarYyBrY3VHDkpGmhdQOJphbAtWYVjXnOzbds2bNu2TXa1HUrnzKkcT8kkkhP4+9fXyIg1M4GB9Y8lKgNhMEMerbklsLY2VrN32sSRgMRyIPD0Qlh7+0asucnNzZVtbQd5ViaRnGTkyPoaGW9fzUTkDi25M7U3PW9v0GNrIPDkQlhH6mhY2yF/npZJJCfx95ekRsYSgxmSHbmksu0JguwNemwNBLYKYT1hoHCkXsPa18rlfQDI5z0pJe4LQ3LGYIZkRYmpbHuCnuYGAk8dKBzJipl/rZzeB3Jqi5RYTExyxmCGZMVTU9n2bOrHgeI3cnofuONsL6W87twXhuRK3n855HXEDEV4eLhHZSiA3wYCWwNWc5/3JlK+D8QT0I1Go8vbImZ9li1bhuTkZNPPdOb3N/9diDyVSmhq1zoPUF5ebjpzJygoSOrmkB2UdKdKriPF+8DWlJKr2qLT6bBs2TKUlJQgPDwc69atc+oyasVPj8nk3B+ShiPjt8Le2eQNmKEgQJr3geWUkk6ng06nAwCXtMWVWR9r02OKcuAAEBoKdOtW/++BA1K3iGSMNTNERP/HvBA7NjYW77//PrKyslyW2TDfNNDZFF1ULrNzf0j+GMwQkd08fQrQvBDbaDRi+fLlbilC/vDDD50+HSRFUbnT3h8yO/eH5I/BDBHZxSNqMOwgTm8ZjUa3ZDZctVrK3YGnU98fMjv3h+SPwQwR2UVOy6VF4oAtFgk6c+B2V2bDFdNBUgSeTn1/yOzcH5I/BjNEZBe51WCIA/aJEydQVVWFgIAAp5+27Y59VVwRNEkReDr9rDEZnftD8sdghojsIreN/cQBu6ioCEVFRejSpQtUKpUsMkaAY9M8zg6apAg8XXLWmEzO/SH5YzBDRHaT0w6w4oAtCAJCQkIQEBCA2NhYGI1GGI1GSYMtqeuLpAo8PfmsMZI3BjNEpEiWmQC9Xo/3338fy5cvl7xAWQ71RVIGnnKbkiTPx2CGiBTB2rSN+YCtVquRlZXVKIAQt/QHXLPxnTXePpjLbUqSPB+DGfJYnr4nijcQX8PAwEC89tpryM7Otlnkay2AMBgMWL9+Pfbv3w8AmD59OhYsWODy9wMHc3lNSZLnYzBDHknqmgVqPYPBgI0bN+Ls2bPQ6/U4c+YMfH19AcDqtI1lAAEAGzduxNtvvw2dTof27dsjPT0dU6dOdcsgy8GcyH0YzJBHkkPNArWc0WjEhg0bsHXrVqjVahgMBrRp0wZ1dXWIiYmxOW1jHkDodDpkZ2fDz88PPj4+CA8Px/Dhw10+5cOMIJH7MZghj+TtNQtKp9frkZOTAx8fH9y4cQO///3vodVq0bNnTyQkJNgVJGi1WgwcOBAA0KNHD8THx6NTp04uDTDM975x188kIkAlCIIgdSNcyZEjxMmz8A5ZucyDgpiYGCxatAgVFRUOv5bufg/odDo8+eSTyMjIwJUrV9ClSxdMmjQJiYmJ0Gh470jkCEfGb/51kcdizYJyWSugbclr6e73gFarRUxMDA4dOoQbN27g/Pnz2LJlC9RqNRITExlUE7kI/7KImiEu7TUajVI3xauIgYiSAgC1Wo2EhAQ8+uijuOOOO+Dn5wd/f39kZ2dDr9e7rR18z5K3YWaGqAmW0x0JCQmcLqAmaTQaJCUlIT4+HikpKcjNzcWgQYPcVrfFlXzkjXhVJmqCXq/HiRMn8MMPP+Do0aMQBAFLly7l4EBNUqvVCA0NRVJSktvrtriSj7wRr8hETRBrIOrq6uDj44OcnBy3TheQskkxVSau5AsPD+dKPvIazMwQNUGsgRAEATk5OW6dLiBqCW/ffZirGL0Tl2YT2YEXSCL5Y72QZ3Fk/OarTGQHJa6sIfI21uqFyDvwykxERB6B9ULeizUzRETkEby9XsibMZghIiKPwZ2/vRPDViIiIlI0BjNERESkaAxmiIiISNEYzBAREZGiyTqYuXnzJlauXImoqCi0bdsW3bp1wwsvvAAP3+ePiIiIHCDr1Uzr1q3D5s2bsX37dvTu3RvHjx/HQw89hODgYDzxxBNSN4+IpFBTAxQXAxERgL+/1K0hIhmQdTCTlpaG8ePHY+zYsQCA2267Dbt378axY8dsPqe2tha1tbWmx+Xl5S5vJxG5yYEDwIQJQHk5EBQE7NkDjBwpdauISGKynmYaPnw4Dhw4gNzcXADAqVOncPToUYwZM8bmc9asWYPg4GDTf5GRke5qLhG5Uk1NfSBTUVH/uKKi/nFNjbTtIiLJyfqgSaPRiKeffhovv/wy2rRpg5s3b2L16tVYvny5zedYy8xERkbyoEkipcvPB7p1a/zxvDzg9tvd3x4icilHDpqU9TTTBx98gF27diE1NRW9e/dGVlYWFi9ejIiICMyePdvqc/z8/ODn5+fmlhKRy0VE1E8tVVQAggCoVEBgYP3HiciryTqYSUpKwlNPPYWpU6cCAPr06YPCwkKsWbPGZjBDRB7K37++RkasmQkMrH/MImAiryfrYKa6urrRQWFt2rSB0WiUqEVEJKmRI4FLl7iaiYgakHUwM27cOKxevRpdunRB7969cfLkSWzYsAFz5syRumlEJBV/f9bIEFEDsi4ArqiowMqVK7F3715cvnwZERERmDZtGlatWgVfX1+7vocjBUREREQkD46M37IOZpyBwQwREZHyODJ+y3qfGSIiIqLmMJghIiIiRWMwQ0RERIrGYIaIiIgUjcEMeZaamvpt73leDxGR12Aw4wJGoxE6nY6b+7nbgQNAaGj9+T2hofWPiYjI48l60zwlMhqNSE5ORmZmJmJjYzF//vxGuxiTC9g6UfnSJe4SS0Tk4TjKOpler0dmZiZKSkqQmZkJvV4vdZO8Q3Fx/Xk94rZJglD/uLhY2nYRyQizxtJgv7seMzNOptVqERsbi8zMTAwcOBBarVbqJnkHnqhM1CRmjaXBfncPBjNOplarMX/+fOj1emi1Wr5p3YUnKhM1yVrWOCQkROpmeTz2u3twpG0la+lDtVqNkJAQBjLuJp6onJdX/+/IkVK3iEg2xKxxeHg4s8Zu1Jp+5/SU/Xg2UysYjUZs2rQJGRkZGDp0KBYuXMgAhohky2g0tihr3NLnUb2W9B+npxwbvznN1Ao6nQ6pqakoKipCTk4OJk2ahNDQUKmbRURklZg1dgQH1dZrSb9zesoxfEe2kiAIqKqqQlFREVJSUpgOJCKPwhWa0uC0oGOYmWmFkJAQxMXFYcuWLfD390dubi6jZyLyKFyhKQ0uJnEMg5lWUKvVSExMhEqlQk5ODgYNGsQ/dCLyKBxUpdOS6SlvxQJgJ2BxHBERkXOxANjNGD0TERFJh2kEIiIiUjQGM0RERKRoDGaIiIhI0RjMEBERkaIxmCEiIiJFYzBDREREisZghoiIiBSNwQwREREpGoMZIiIiUjQGM0RERKRoDGaIiIhI0RjMEBERkaIxmCEiIiJFYzBDREREisZgxkMYjUbodDoYjUapm0JERORWGqkbQK1nNBqRnJyMzMxMxMbGYv78+VCrGacSEZF34IjnAfR6PTIzM1FSUoLMzEzo9Xqpm0REROQ2DGY8gFarRWxsLMLDwzFw4EBotVqpm0REROQ2nGbyAGq1GvPnz4der4dWq+UUExEReRUGMx5CrVYjJCRE6mYQERG5HW/hiYioWVwxSXIm+2Dm4sWLmDFjBkJCQtC2bVv06dMHx48fl7pZREReQ1wxuWzZMiQnJzOgIdmR9TSTXq/HH//4R4wYMQJffPEFOnXqhHPnzrHAlYjIjaytmOS0NsmJrIOZdevWITIyEu+8847pY1FRUU0+p7a2FrW1tabH5eXlLmsfEZE3EFdMZmZmcsUkyZJKEARB6kbY0qtXL4wePRq//vorDh06hN/97ndYuHAhHn30UZvPefbZZ/Hcc881+nhZWRmCgoJc2VwiIo9lNBq5YpLcqry8HMHBwXaN37IOZvz9/QEAS5YswaRJk/Djjz9i0aJFSE5OxuzZs60+x1pmJjIyksEMERGRgnhMMOPr64tBgwYhLS3N9LEnnngCP/74I9LT0+36Ho50BhEREcmDI+O3rHOF4eHh6NWrV4OP9ezZE0VFRRK1iIiIiORG1sHMH//4R+Tk5DT4WG5uLrp27SpRi4iIiEhuZB3MJCQkICMjAy+99BLOnz+P1NRUvPXWW3jsscekbhoRERHJhKyDmcGDB2Pv3r3YvXs3fv/73+OFF17Aq6++iunTp0vdNCIiIpIJWRcAOwMLgImIiJTHYwqAiYiIiJrDYIaIiIgUjcEMERERKRqDGSIiIlI0BjNERESkaAxmiIiISNEYzBAREZGiMZghIiIiRWMwQ0RERIrGYIaIiIgUjcEMERERKRqDGSIiIlI0BjNKVFMD5OfX/0tEROTlGMwozYEDQGgo0K1b/b8HDkjdIiKihnjDRW7GYEZJamqACROAior6xxUV9Y95wSAiueANF0mAwYySFBcD5eWAINQ/FoT6x8XF0raLiAjgDRdJhsGMkkREAEFBgEpV/1ilqn8cESFtu4iIAN5wkWQYzCiJvz+wZw8QGFj/ODCw/rG/v7TtIiICeMNFkmEwozQjRwKXLgF5efX/jhwpdYuIiOrxhoskopG6AdQC/v7A7bdL3QoiosbEG67i4vqMDAMZcgMGM0RE5Fy84SI34zQTERERKRqDGSIiIlI0BjNERESkaAxmiIiISNEYzBAREZGiMZghIiIiRWMwQ0RERIrGYIaIiIgUjcEMERERKRqDGSIiIlI0BjNERESkaB5/NpMgCACA8vJyiVtCRERE9hLHbXEcb4rHBzMVFRUAgMjISIlbQkRERI6qqKhAcHBwk1+jEuwJeRTMaDSiuLgYgYGBUKlUTX5teXk5IiMjceHCBQQFBbmphZ6L/el87FPnY586H/vU+byxTwVBQEVFBSIiIqBWN10V4/GZGbVajc6dOzv0nKCgIK95s7gD+9P52KfOxz51Pvap83lbnzaXkRGxAJiIiIgUjcEMERERKRqDGTN+fn74f//v/8HPz0/qpngE9qfzsU+dj33qfOxT52OfNs3jC4CJiIjIszEzQ0RERIrGYIaIiIgUjcEMERERKRqDGSIiIlI0rw9mbt68iZUrVyIqKgpt27ZFt27d8MILL9h1FgTVO3z4MMaNG4eIiAioVCrs27evwecFQcCqVasQHh6Otm3bYtSoUTh37pw0jVWIpvq0rq4Oy5YtQ58+fRAQEICIiAjMmjULxcXF0jVYAZp7n5qbP38+VCoVXn31Vbe1T4ns6dOzZ8/ivvvuQ3BwMAICAjB48GAUFRW5v7EK0Fx/VlZW4vHHH0fnzp3Rtm1b9OrVC8nJydI0Vma8PphZt24dNm/ejNdffx1nz57FunXr8PLLL+Of//yn1E1TjKqqKvTr1w9vvPGG1c+//PLL+Mc//oHk5GT88MMPCAgIwOjRo1FTU+PmlipHU31aXV2NzMxMrFy5EpmZmdizZw9ycnJw3333SdBS5WjufSrau3cvMjIyEBER4aaWKVdzfZqXl4c//elPiImJwcGDB3H69GmsXLkS/v7+bm6pMjTXn0uWLMGXX36JnTt34uzZs1i8eDEef/xx7N+/380tlSHBy40dO1aYM2dOg49NmDBBmD59ukQtUjYAwt69e02PjUajEBYWJvz97383fezatWuCn5+fsHv3bglaqDyWfWrNsWPHBABCYWGhexqlcLb69NdffxV+97vfCf/5z3+Erl27Chs3bnR725TKWp9OmTJFmDFjhjQNUjhr/dm7d2/h+eefb/Cx2NhYYcWKFW5smTx5fWZm+PDhOHDgAHJzcwEAp06dwtGjRzFmzBiJW+YZCgoKUFpailGjRpk+FhwcjCFDhiA9PV3ClnmWsrIyqFQqdOjQQeqmKJbRaMTMmTORlJSE3r17S90cxTMajfj888/Ro0cPjB49GrfeeiuGDBnS5PQeNW348OHYv38/Ll68CEEQ8N133yE3Nxd//etfpW6a5Lw+mHnqqacwdepUxMTEwMfHBwMGDMDixYsxffp0qZvmEUpLSwEAoaGhDT4eGhpq+hy1Tk1NDZYtW4Zp06Z51QF0zrZu3TpoNBo88cQTUjfFI1y+fBmVlZVYu3Yt7rnnHnz99de4//77MWHCBBw6dEjq5inSP//5T/Tq1QudO3eGr68v7rnnHrzxxhv485//LHXTJOfxp2Y354MPPsCuXbuQmpqK3r17IysrC4sXL0ZERARmz54tdfOImlRXV4fJkydDEARs3rxZ6uYo1okTJ/Daa68hMzMTKpVK6uZ4BKPRCAAYP348EhISAAD9+/dHWloakpOTceedd0rZPEX65z//iYyMDOzfvx9du3bF4cOH8dhjjyEiIqJB9tsbeX0wk5SUZMrOAECfPn1QWFiINWvWMJhxgrCwMADApUuXEB4ebvr4pUuX0L9/f4la5RnEQKawsBDffvstszKtcOTIEVy+fBldunQxfezmzZtITEzEq6++il9++UW6xinULbfcAo1Gg169ejX4eM+ePXH06FGJWqVc169fx9NPP429e/di7NixAIC+ffsiKysL69ev9/pgxuunmaqrq6FWN+yGNm3amO4qqHWioqIQFhaGAwcOmD5WXl6OH374AcOGDZOwZcomBjLnzp3Dv//9b4SEhEjdJEWbOXMmTp8+jaysLNN/ERERSEpKwldffSV18xTJ19cXgwcPRk5OToOP5+bmomvXrhK1Srnq6upQV1fH8coGr8/MjBs3DqtXr0aXLl3Qu3dvnDx5Ehs2bMCcOXOkbppiVFZW4vz586bHBQUFyMrKQseOHdGlSxcsXrwYL774Irp3746oqCisXLkSERERiIuLk67RMtdUn4aHh2PixInIzMzEZ599hps3b5rqjzp27AhfX1+pmi1rzb1PLQNCHx8fhIWFITo62t1NVYzm+jQpKQlTpkzBn//8Z4wYMQJffvklPv30Uxw8eFC6RstYc/155513IikpCW3btkXXrl1x6NAh7NixAxs2bJCw1TIh9XIqqZWXlwuLFi0SunTpIvj7+wu33367sGLFCqG2tlbqpinGd999JwBo9N/s2bMFQahfnr1y5UohNDRU8PPzE0aOHCnk5ORI22iZa6pPCwoKrH4OgPDdd99J3XTZau59aolLs5tnT59u3bpVuOOOOwR/f3+hX79+wr59+6RrsMw1158lJSVCfHy8EBERIfj7+wvR0dHCK6+8IhiNRmkbLgMqQeBWt0RERKRcXl8zQ0RERMrGYIaIiIgUjcEMERERKRqDGSIiIlI0BjNERESkaAxmiIiISNEYzBAREZGiMZghIiIiRWMwQ0RERIrGYIaIFOXmzZsYPnw4JkyY0ODjZWVliIyMxIoVKyRqGRFJhccZEJHi5Obmon///tiyZQumT58OAJg1axZOnTqFH3/8kYdtEnkZBjNEpEj/+Mc/8Oyzz+LMmTM4duwYJk2ahB9//BH9+vWTumlE5GYMZohIkQRBwN133402bdrgp59+wt/+9jc888wzUjeLiCTAYIaIFCs7Oxs9e/ZEnz59kJmZCY1GI3WTiEgCLAAmIsXatm0b2rVrh4KCAvz6669SN4eIJMLMDBEpUlpaGu688058/fXXePHFFwEA//73v6FSqSRuGRG5GzMzRKQ41dXViI+Px4IFCzBixAhs3boVx44dQ3JystRNIyIJMDNDRIqzaNEi/Otf/8KpU6fQrl07AMCbb76JpUuX4qeffsJtt90mbQOJyK0YzBCRohw6dAgjR47EwYMH8ac//anB50aPHg2DwcDpJiIvw2CGiIiIFI01M0RERKRoDGaIiIhI0RjMEBERkaIxmCEiIiJFYzBDREREisZghoiIiBSNwQwREREpGoMZIiIiUjQGM0RERKRoDGaIiIhI0RjMEBERkaL9f8ZZWokbJi+CAAAAAElFTkSuQmCC",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = death_df.plot(x='X', y='Y', s=2, c='black', alpha=0.5, kind='scatter', label='Deaths')\n",
"pump_df.plot(x='X', y='Y', kind='scatter', c='red', s=8, label='Pumps', ax=ax)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "OZN7reANV_4A"
},
"source": [
"Although simply invoking the `plot()` command is quick and easy when doing an exploratory data analysis, it is usually better to be formal about figure and axes objects. \n",
"\n",
"Here is the recommended way to create a plot. Call the `subplots()` method (see https://matplotlib.org/3.2.1/api/_as_gen/matplotlib.pyplot.subplots.html) to get the figure and axes objects explicitly. \n",
"\n",
"As you can see below, `subplots()` creates an empty figure and returns the figure and axes object to you. Then you can fill this empty canvas with your plots. Whatever manipulation you want to make about your figure (e.g., changing the size of the figure) or axes (e.g., drawing a new plot on it) can be done with `fig` and `ax` objects. So whenever possible, use this method! \n",
"\n",
"**Now, can you use this method to produce the same plot just above?**"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 467
},
"executionInfo": {
"elapsed": 315,
"status": "ok",
"timestamp": 1684852751966,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "1eIf1U3-V_4A",
"outputId": "1a9363ac-7d15-4f30-f362-e01cd35502bd"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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cr0OHDqbXojUYzBAReRCDwYCNGzciOzsbAwcOxPz58xnQWKFSqRAeHo5bb73V6mGM5Ho+Pj6tzsiIGMwQEXkIo9GIDRs2YOvWraYaBL1ej5CQEIlbJl9t2rRx2oBK0mG4TkTkIfR6PXJycuDj44O6ujrExMRAq9VK3Swil2NmhojIQ2i1WgwcOBAAEBMTg4SEBE4xkVdgMENE5CHUajXmz5/P4l/yOgxmiIg8iFqtZo0MeR2G7URERKRoDGaIiIhI0RjMEBERkaIxmCEiIiJFYzBDREREisZghoiIiBSNwQx5NaPRCJ1OB6PRKHVTiIiohbjPDHkto9GI5ORkZGZmIjY2lgfyEREpFK/c5LX0ej0yMzNRUlKCzMxM6PV6qZtEREQtwGCGvJZWq0VsbCzCw8MxcOBAHshHRKRQnGYir8VzbIiIPAODGfJqPMeGiEj5eCtKREREisZghojIxbgFAJFrcZqJiMiFuAUAkevxL4qIyIW4BQCR60kazBw+fBjjxo1DREQEVCoV9u3b1+hrzp49i/vuuw/BwcEICAjA4MGDUVRU5P7GEhG1ALcAIHI9SaeZqqqq0K9fP8yZMwcTJkxo9Pm8vDz86U9/wsMPP4znnnsOQUFBOHPmDPz9/SVoLRFZMhqNXNreDG4BQOR6KkEQBKkbAQAqlQp79+5FXFyc6WNTp06Fj48P3n333RZ/3/LycgQHB6OsrAxBQUFOaCkRAawFISLXcmT8lu2Vx2g04vPPP0ePHj0wevRo3HrrrRgyZIjVqShztbW1KC8vb/AfETkfa0GISC5kG8xcvnwZlZWVWLt2Le655x58/fXXuP/++zFhwgQcOnTI5vPWrFmD4OBg03+RkZFubDWR92AtCBHJhWynmYqLi/G73/0O06ZNQ2pqqunr7rvvPgQEBGD37t1Wv09tbS1qa2tNj8vLyxEZGclpJiIXYM0MEbmKI9NMst1n5pZbboFGo0GvXr0afLxnz544evSozef5+fnBz8/P1c0jIvA4CCKSB9neSvn6+mLw4MHIyclp8PHc3Fx07dpVolYRERGR3EiamamsrMT58+dNjwsKCpCVlYWOHTuiS5cuSEpKwpQpU/DnP/8ZI0aMwJdffolPP/0UBw8elK7RREREJCuS1swcPHgQI0aMaPTx2bNnIyUlBQCwbds2rFmzBr/++iuio6Px3HPPYfz48Xb/DC7NJiIiUh5Hxm/ZFAC7CoMZIiIi5fGIfWaIiOSGp18TyZNsVzMREckJdzwmki/+JRIR2YE7HhPJF4MZIqL/09Q0Enc8JpIvTjMREaH5aSSefk0kX/xrJCKCfdNI4o7HDGSI5IV/kURE4DQSkZJxmomIFM1Zh11yGolIuRjMEJFiOXu5NA/OJFIm3noQkWJxuTQRAQxmiEjBWOdCRACnmYhIwVjnQkQAMzOyxPNfiOzH5dJExMyMzPD8FyIiIsdwlJQZFjR6N2bliIgcx2BGZljQ6L3ErNyyZcuQnJzMgIaIyE6cZpIZFjR6L2tZOSn2PHHWJnRERO7CK5XUamqA/Pz6f/8PCxq9kxyycswOEZESMTMjpQMHgAkTgPJyICgI2LMHGDlS6laRROSQlZNLdoiIyBG89ZdKTU19IFNRUf+4oqL+sVmGhryP1Fk5OWSHvB2LwIkcx8yMVIqL6zMyIkGof1xcDNx+u3TtIo9kbx2MHLJD3oxbMxC1DP9KpBIRUT+1pFLVP1ap6h9HREjbLmpE6XfK4gD55JNPYv369TAYDE1+vRTZIaX3sbNwawailmEwIxV///oamcDA+seBgfWP/f2lbRc1YDQasXnzZixatAibN29W5GCr1+tx4sQJ/PDDD9i6dSs2btwoq9+DRce/4TQfUctwmklKI0cCly7VTy1FRDCQcSN7p110Oh127dqFCxcuID8/H5MnT0anTp3c2NLW02q1iI6OxtGjR+Hj44Ps7GxZFfay6Pg3nOYjahkGM1Lz92eNjJsZjUZs2rQJGRkZGDp0KBYuXOjRg4ZarcaSJUugUqmQnZ2NQYMGyeqOX8xGZGZmMhuB36b5iMh+KkEQBKkb4Url5eUIDg5GWVkZgoKCpG4OycCVK1cwfvx4FBUVITw8HJ999hlCQ0Otfq154DNs2DAsWLBAsYGPnDfDc1fb5NwHRNSQI+M3MzPklQRBQFVVFYqKipCSkoKkpCSrg5tarcbChQsxbdo0WQyA4mAs/oE70iY53/G7o21ibc6JEycQHR2NJUuWQKPhJZDIE/AvmbxOSEgI4uLisGXLFvj7+yM3N7fJOg25BAHmg3FVVRUCAgIwcOBALt+1k3kh9NGjR6FSqZCYmMi+I/IADGbI66jVaiQmJkKlUiEnJ0d2NSS2iIWyRUVFKCoqQpcuXaBSqby6YNYRci+EJqKWYzBDXkmj0WDp0qWKqp8QC2UFQUBISIgpM6OEQEwO5F4ITUQtxwJgIgVpTc0M1WMRsLzw9SBbHBm/+c4hUhCxfkej0cj6ZHU57+gr9flX9JumNqV05D0k5/cbuQenmYjIqVp7vhDv1D1Hc6+l+aaUP//8MyZMmIDw8PAm30OW35PnWRHAzAwRtUBTd8KtOV+IRxt4DnGPpieeeAJ///vfG5wJZv7+EQQBOp0OP//8MxYsWACDwWDzPWR+ztgrr7zS5NeSd2Fmhogc0tx+LY7s6Gt5l82jDTyHmHU5e/YsvvrqKxiNRixbtgwATJmU/v374y9/+Qv+85//QK1W4+eff0ZBQQG6detm9T1kubxeEAQsWbKEO0gTgxkickxz+7XYe76QtekBHm0gDVdN7dXV1aG6uhoA8MEHH2DOnDnQaDSmgBUAXnjhBfz00084c+YMBg4ciKioKJvvIa1Wi5iYGNPy+pycHJSVlfE8K2IwQyR3YkoegCwKV+3Zr8Vyo0Frg6WtLIwzBybW3zTPPNMWExODhISEVu2MbN7nEydOxC+//IKqqipcvHgRKSkpSExMNAWsAwYMgEajwfvvv4/CwkJERUWZfra1zSrVajUSEhIgCEKDPaLksrElSYfBDJFMiUHMe++9h927dwMApk+f3uT5UOaBj1ardcnybUf3a7FVoGkrC+OsgYmFofaxNnWzdOnSFvWVZZ8vWbIE169fx86dO9G2bVvk5uaaMik6nQ4ffPABli9f7tDro8Q9osj1GMwQyZA4KKSlpSEnJwelpaUAgPT0dEydOtXqYC8uc921axcAIDIyEu3bt3fJkQcajQaJiYl2DSi2MjD2Tke1lJLqb+zNILki02Rt6qalfWXZ5xUVFVixYgVUKhWKiooaZFLUajVOnjzZoteHmRiyJGlIe/jwYYwbNw4RERFQqVTYt2+fza+dP38+VCoVXn31Vbe1j0gq4qBw9epVaDQahIWFoUuXLhg+fLjNLIher0d6ejouXLiAwsJCnDhxAkVFRS5b4WHvfi1iBiY8PLxRHYwr93xp6ufKib0ruFy10kucunn44YcxZMiQVu2MbNnnwcHBePvtt3HhwgXExMTg0UcfbVD/ooTXh5RB0sxMVVUV+vXrhzlz5mDChAk2v27v3r3IyMhARESEG1tHJB3xQg8AY8eOxcSJE5sd+LVaLYYNG4b8/HwADTMzUg4Urs7AyO3nOsreDJIrM032Tt00lxky7/Pg4GAUFBTgxIkTKC0thUqlQllZmanNSnl9SBkkDWbGjBmDMWPGNPk1Fy9exN/+9jd89dVXGDt2rJtaRiStllzo1Wo1FixYgMmTJwNwXc1MS0g1LWDt58qtKNjeFVyuXunV3Gsk7huTkZGBoUOHYuHChTYDGq1W2+CE97CwMKtt5nQROYusa2aMRiNmzpyJpKQk9O7d267n1NbWora21vS4vLzcVc0jcqmWXOjVajU6depkeuyNA0VTwYoci4LtDVylyGSY96VOp0NqaiouXLiA/Px8/OUvf0H37t2ttkPMIpWWliIsLAxPPfUUunXrJnlfk+eS9Ttr3bp10Gg0eOKJJ+x+zpo1axAcHGz6LzIy0oUtJCI5aa6uRK67xdpbO+TOc6Wa6svS0lKsWLECmzZtslq7Y14PM2jQIAYy5HKyfXedOHECr732GlJSUqBSqex+3vLly1FWVmb678KFCy5sJRE1x2Aw4Ny5cw22s3eV5oIV80F2wIABMBqNPDLBBrEvi4uLkZaWBqB+a4AhQ4ZAEARkZGQgNTXVtBWAOTGLtG7dOsybN4+BDLmcbN9hR44cweXLl9GlSxdoNBpoNBoUFhYiMTERt912m83n+fn5ISgoqMF/RCQNg8GAGTNm4N5778WMGTNcHtBYW01jfoaUOMiuWbMGQP3Nj7edAWXvCdNarRb9+/fHtWvXUFBQgI8++gjz5s3D6tWrERYWBpVK1eSNJk8nJ3eSbc3MzJkzMWrUqAYfGz16NGbOnImHHnpIolYRUVMs61UKCgpw8uRJ6PV6nDx5EgUFBejevbvLfr55XUlgYCA2bNiAnJycBnvttHaPEyVzpGZIrVZjypQpyMjIML1+ZWVl6N69O2bMmIH09HQMHz7cK/qN5E/SYKayshLnz583PS4oKEBWVhY6duyILl26NPoj8fHxQVhYGKKjo93dVCJqhrWBMioqCgMGDMDJkycRGxuLqKgol7dDXE3zyiuvYOvWrfDx8QGABgGLt54B5ejy7pCQEAwfPrxBP4mr5qZOnSqbFWFEkgYzx48fx4gRI0yPlyxZAgCYPXs2UlJSJGoVkWdz1dJkWwPlzp07UVBQ0ODcHVfT6/XIzs6Gj48P6urqEBMT02izPm/c48TRIM5WP3FJNcmNpMHMXXfdBUEQ7P76X375xXWNIfICrlyabGug1Gg0Lp1astWWgQMHAoDp8ETL39MbB+SW7l/kbf1EyiPbmhkib9LabIn4/ODgYNMKHmvFl67cRVZO2Q45tcUVWvN+YXBCnojBDJEEzFeUGI1G7NixA7m5uS06FFLMtpw4cQKVlZUoKiqCSqXCgw8+2GiXVql3kXUnW22xJxCQ2y7B5hzNrsn5dyFyFgYzRG5mfrp1cXExjEYjampqcOuttwKAw9kSMdtSVFSEgoICVFdXo02bNsjIyMC0adMafC9Pz1g0x55AQI67BJuzN7smBszvv/8+srKyZPm7EDkLgxkiNxNPty4sLIRer4cgCPD19UVNTU2jQlV7iNkWQRAQEhKCwsJCqFQqDBs2zOr3klP2xN3sCQRcORXnDPZk18SALC0tDfn5+ejQoQMAxwNlIqVgMEPkZuanW/v6+gIAwsLCcP/991stVG2O5UnFTdXMeDt7AgFrXyOnqRp7smtiQCa+Fzp27Nhgx2OpfwciZ1MJjiwnUqDy8nIEBwejrKyMuwGTbFjuwiqH3VLNi4jlctq2PRwNNBytmTEajdi4cSOys7NbVNMkBfOpsv79+2PkyJE4cOAAp5tIURwZv5mZIZKA5enWUjMYDNiwYQOys7NRXV2NgIAARQzcYv1Reno6hg0bhgULFth9WKM9X2M0GrFhwwabm+/JlZi9EWtmVq9ejfz8fGi1WllOnRG1FoMZIi8nZh62bt0KlUoFo9GIrl27QqVSyW7Qs8yq6HQ67Nq1CxcuXEB+fj4mT57scJAoZsmAxlNzer0eOTk5NjffkzPx2IasrCxcvXoVwG/77yjldyCyF4MZIi9nvlvujRs30Lt3b3Ts2FEWg5558AKg0Sqj1jIYDHjllVewb98+q8vZ7dl8T87E+h8AGDt2LCZPniz5dCaRKzCYIfJylgP2okWLUFFRIXnNjOUS6UmTJlldZfTggw8iIyMDw4YNcyiLJGaktmzZAp1Oh4CAgEbL2ZW+lN1W++VU0EzkDAxmPAAvTOQIy/eLtQFPDlNLlkukJ02a1GiVkVqtxsKFCzFt2jSH3/9iRsrPzw8+Pj4IDw+3upxdLv3RUpbtl/s+OkQtwWBG4XhhIkfYer9IMWA3F4RbLpEOCQlptAS9NcGXeUYqOjoas2fPRqdOnST5+2nNDYmjz5X7PjpELcFgRuF4YSJHyOX9Yk8QbmuKRKvVmo5viI6OxpIlS1p0GndzU0juyni25oakJc919ZEWRFJgMKNwvDCRI+TyfrE3qLKWddHr9Thx4gR++OEHHD16FCqVComJiS0KOKxNweh0OhgMBmzfvh3nzp2za4l6awKf1gSYLXmu0uuAiKxhMKNwvDCRI+TyfrF3S35r7dRqtYiOjsbRo0fh4+OD7OzsVmeYxCDmvffew+7du3Hx4kVcv37dtMy7qe9vMBhataleawLMlj5X6XVARJYYzHgAXpjIEebvF6mKx+2Z4tm8eTPS0tLQt29fJCYmmqaS1Go1lixZApVKhezsbAwaNKhVGSbzc4xycnJQXFyMa9euQaPRoLa2tsm9ZZyxqV5rAky5BKdEUmMwQ+SlpCwet9w/5sqVKwB+27ROp9Nh586dyM7OxjfffIOqqiqsWrXKFNBoNBokJiY6ZRAXp2quXr0KjUaDiIgI+Pn5ITQ0FHFxcU3uLeOsTfVac0PCmxkiBjNEXkuqYmCj0YhNmzYhIyMDf/jDH6BSqbB7924IgoC4uDgkJiYCqJ++uXHjBmpra7Fr1y4EBgY2qI1x1iBuubHcxIkTG3z/pgIlpW+qZw/zM7t4iCnJFYMZIi8lVTGwTqdDamoqLly4gJycHHTt2hVFRUWoqqpCcnIyACAxMREzZ87EO++8g4sXL6Jt27ZOqY2xxp3TPEraE8poNOLKlStISUlBTk4OqqqqUFRUZHWnZCKpMZghRVHSYCB3LRnEnd3/Pj4+GDhwIAoLC03Byocffoj4+Hg8/vjjmDJlClJSUpCbm9vq2hhLlr+Lq6d5lLQnlJg92759OwoLC9GxY0fU1dXh+vXraNOmTaOdkomkxmCGFENJg4FSODKIO6v/Q0JCMH36dKSnp2P48OGYO3cu4uLiMHPmTJw/fx5FRUVISUlBUlISQkNDkZSU5PQAVvxdWrtXjSPkssePPfR6PTIyMlBSUoK6ujrU1dWhb9++KC0thUqlsrpTMpGUGMzIWU0NUFwMREQA/v5St0ZyShoMlKip06MB5/W/Wq3GggULMHXqVFOAEh0djUmTJmHLli3w8/NDbm6u6fu7osDVfK+agwcPoqqqCitXrnRpQOPotJ6UWUitVouhQ4ciPz8fABAXF4fFixejrKwMAGtmSH4YzMjVgQPAhAlAeTkQFATs2QOMHCl1qyQllw3fPJE4rZCamgoAmD59OhYsWNBofxdn9b9lgKJWq03Fvc5Ybm2LeTFrjx498Omnn6KyshKbNm2CIAgNVkw5myPTeu7OQlo7r2vhwoWYMmUKgN+CF3HfHSK5UQmCIEjdCFcqLy9HcHAwysrKEBQUJHVz7FNTA4SGAhUVgCAAKhUQGAhcuuT1GRrWzLiGTqfDokWLcOjQIQDAnXfeiddee61RRsTV/e/s72+5BDw5ORnHjx9HZGQkHnnkEYwfPx7Z2dkAgPDwcMyfP7/Fuwk7k06nw7Jly1BSUoLw8HCsW7fOZVlITt+SXDkyfjMzI0fFxfUZGZEg1D8uLgZuv126dskA99RwDfNpBZVKheHDh1vNjLi6/535/c2XgA8dOhRTpkzB8ePH8cUXX6C6uhqnTp3CrFmzsH37dvz666/w9/d32YopR7kzC2nv9CFvJEjOGMzIUURE/dSSZWYmIkLqlpGTyG1gsDWtoGTiEvCioiLk5OTggQceQGRkJKqrq2E0GvHzzz9j3bp1mDZtmstWTLWUO3f2tfdoCWZvSM4YzMiRv399jYxYMxMYWP/Yy6eYlMpgMKCgoABRUVHQaDSyHRjkXBNh2Yf2EgTBtD/Kjh07sHz5cpw+fRpnzpzBwIED0a1bN2g0GpesmGotd2Uh7QmcWHxPciePv1pqbOTI+hqZvLz6f2Vc/CturnXlyhUYjUapmyMrBoMBM2bMwL333osZM2bAYDBYHRjINrEPx44di0mTJuHGjRsNPi+uwrJ874WEhCAuLg4hISHo1KkTcnNzUVVVhQ8//BCff/453n333QbnPbU0G2Xr5yuJ5e9v+TuJ2Zvw8HAW35MsMTMjZ/7+sq+RMRgMeOWVV7Bv3z7uDGpFQUEBTp48Cb1ej5MnT6KgoADdunXjqqxmmC8Tv3r1qin4Ky0txYoVK7B06VJTFslWlktcIaVSqZCTk2OaQlKr1ejevXuL22WewZB61ZGrfoa134kHWpKcMZihFjMajdi4cSO2bNkCnU6HgIAAl+8Mas/FvLn9UtwpKioKAwYMwMmTJxEbG4uoqCgODM2wXCY+btw49OzZ07Rh2/bt23Hw4EHEx8dj8uTJTU5/aDQaLF261Cl9bW2Qd+f0i7sCJ1u/E4vvSc54FaUW0+v1yM7Ohp+fH3x8fNCpUycMGTLEZZkG8WK+bNkyJCcnW03riwPh+PHjMX78eGzevFnS9L9Go8HOnTvx2WefOW1aw9OJu89euHABZ8+exVtvvYXBgwdj3rx5uOWWW1BXV4eSkhKkp6cDQLPTHy3ta8upFmuDvDunX9w1PckpJVIiZmaoxcQTgwVBwNWrV9GuXTuXDs723AWbD4QAkJ6ejqlTp0p6R6nRaFo8reEp7J0eMRqNMBqNGDJkCHJyckxLpT///HPs2bMHt9xyC/bt2we1Wo3hw4cjJCTEJVkua1kQa6t+5LbqyBnMf6fg4GCbWU65rcgj78ZgxkO56kJj+X3nz5+PvLw8rF27FqWlpab6EFcED5YXc/FCa/472rtfCrmP+TlIMTExSEhIMGWorG1ql5mZif79+yMlJQWzZ882TS+Jq47mzJkDoOHg6orjDqwFztYCFzmtOnLmz9Jqtdi8eTN27doFAA3q4eS6Io+8F4MZD+SqC42t79utWzcMHDiwySDDGcwv5oGBgdi4cSOys7MxcOBAU1vkvF+Kt97Jmp+DdOTIEVRUVOCxxx5DSEgI3nrrLdP7adKkSaYAAgCmTJmC+Ph4ZGRkYNiwYW7dUt9WFqQlgYu9dV72vDfcWbei1+uRnp5uynKa18NxqTbJDYMZD+SqC01ThYHmaWnzAcrZd2ziHeP69euxdetW+Pj4mNom/o5y2y9FrL344IMPTIXA3nQnq9VqERMTYwpkNm/ejC+++AITJ05Ebm4uSktLkZmZiUmTJjUIIEJCQrBw4UJMmzbN7QGgs7IgBoPBatBtTq5ZDq1Wi2HDhpkOmzQ/KZvnpJHcMJjxQK660DT1fcU7Rp1O5/I7Nr1ej5ycHPj4+KCurg4xMTGyvZiKA1VaWhry8/Oh1Wq97k5WrVYjISEBVVVVePfdd3H16lWUlJTg9OnT6NevH1QqlSl4sRZASNVPrc2CGI1GbNiwwWbQLZJrlkM83Xzy5MkAGmY5LYM9AC7JxhLZi8GMB7J1V9naaQ57vq877tjEwmMAphoMuV5AxYHq6tWrAOrbPmDAAFOhq1zb7WwajQbPPPMM2rZta9qTaPjw4Zg3bx7KyspkEbw4m71Bt5yzHOZZTnFzTOC3wCYkJES2mSXyLjw1W6ZccXqwu+poALhlYy8l1J+Y98+AAQMwceJEfPTRR1453QTIaw8gV7BW0Gyt8Lmp58mxT4xGo81iYHee8E3ehadmK5z56o/o6GgsWbLEofNorHF3HY2rL2ZK2cDLMpsl7gQstykFd5FbPZMzWQvs7a27cdX72VlBUlPFwHLOLJH3kPQW4PDhwxg3bhwiIiKgUqmwb98+0+fq6uqwbNky9OnTBwEBAYiIiMCsWbNQXFwsXYNdyHyDLvPVH1u3bsXGjRtbvfGbqzbCUvoGW2K/GwwGl52vY75pm1z7q6nzhTzh7KHWsuf8MWuBvZSbI9qzyaS9xGLgyMhIREZGNigGFgP2devWYd68ebLMLJHnkzQzU1VVhX79+mHOnDmYMGFCg89VV1cjMzMTK1euRL9+/aDX67Fo0SLcd999OH78uEQtdg3LTMzixYsRHR2No0ePwsfHx7RxWGvu3Fy1R4Uct+a3dynslStXkJKSgpycHFRXVyMgIMDmihNnkWt/bdq0Cenp6ejbty8SExMb7APj7fUQTU2xmE+byS1D4cxsbFPFwOLnvSnDSPIjaTAzZswYjBkzxurngoOD8c033zT42Ouvv44//OEPKCoqQpcuXaw+r7a2FrW1tabH5eXlzmuwi5hnYo4ePQqVSoXFixdDpVIhOzvbdECeI6wN6K664MjpQmbP4CsO3tu3b0dhYSG0Wi0EQUDXrl2hUqlcPvUjp/4C6lehpKam4ueff8bXX38No9GIZcuWQa1WS7LSRm71I7amWLRabYMzpKZPn261oNkZWlJr5OzgypOnCEn5FFUzU1ZWBpVKhQ4dOtj8mjVr1uC5555zX6OcQKvVNsrEVFRUIDExsUUXdW++m3bkyIOSkhLU1dXBYDCgb9++6NixoyzuqKVQV1eH6upqAMDHH3+MRx55BJ06dXJ7tsEV9WKtZWu/FWccnSEGbmKRo7W/9aYyQ02RYxaQyFUUE8zU1NRg2bJlmDZtWpNVzcuXL8eSJUtMj8vLyxEZGemOJraYWq3GkiVLGmViWnoHL9d9Kyy54g7cnsHX/MgDAIiLi8PixYtRVlbmlDbIia07evO+DwkJwQMPPICCggIYDAbTniiA6wdEy/eA5W7B1dXVeOaZZyQNaGxNsbT26AxxQ72zZ882Oc3ZVPGtPW2X498+kbPZfYUoLi5GRESEK9tiU11dHSZPngxBELB58+Ymv9bPzw9+fn5uapnzaDSaFmdiLEk5d+/IgYLOyB5Z/jx7Bl/LIw+0Wi10Oh1SUlKQm5vr8roZdzG/o6+rq8OsWbPw2GOPAUCjvl+6dClUKhVOnz5tOsBR5MwB0dbSZTELI2Ypxd2CU1NTERAQgMTERElfD2tTLK05OsN8Qz21Wo2bN2/anOa0zAwNGTLE6/YpImqO3cFM79698cYbb+DBBx90ZXsaEQOZwsJCfPvtt4raK8ZRzho0nHU37WjmxJEpAkezR9baYisgsqcfxcFJHPBTUlJQWFhoGrDkms1qjnk/6fV6pKWl4ezZs7hx4wZ27NiBqVOnQq1WW+37pKQkl05JWB44OWvWrEa1YomJiViyZAmqq6uRmpoKX19fpxTAu0pL60jMN9S7ceMGevfubXOa0zwzZDQa8dFHH2H58uVeN4VM1BS7g5nVq1dj3rx52Lt3L95880107NjRle0C8Fsgc+7cOXz33XeyvJjJVWsDI3vPlLE1RWA+OFm72DqSPbIVJDljOk1M4Yv1M7W1tZIfj9DS6TexsDkjIwNDhw7F/Pnz0bdvX1MhvRhYNnuIYk0NUFwMREQA/v5O+z0s3x83b95Ejx49rK7ae+aZZxAQENDiAni5s9zFetGiRaioqGgym9ipUyfodDqv3qeIyBa7g5mFCxdizJgxePjhh9GrVy9s2bIF48aNa9UPr6ysxPnz502PCwoKkJWVhY4dOyI8PBwTJ05EZmYmPvvsM9y8eROlpaUAgI4dO8LX17dVP5tss+dMGWtZEWuFzLYuto5kj2wFSc6YTjNP4RuNRvz1r3/F3/72N8mKJlsz/SauSrpw4QLy8/MxZcoUJCYmAkCD6aMm+/7AAWDCBKC8HAgKAvbsAUaOtLvtllNIlu+PmJgY0/vj3LlzeOmll6BWqxsFLc6cdpUja6+BPUGJ3JZ/E8mFQ1V1UVFR+Pbbb/H6669jwoQJ6NmzZ6NphMzMTLu/3/HjxzFixAjTY7Fwd/bs2Xj22Wexf/9+AED//v0bPO+7777DXXfd5UjTyQH2nCljKytirZDZFkcu4LaCJPMBwWg0Ii8vD1FRUXYXjIop/IkTJ5r2nImPj3fLnjPWOKt4W6VSAagPCqxNH1nt+5qa+kCmoqL+cUVF/eNLl5rN0Fhmz2bPnm3190hISIAgCMjJycGgQYPQqVMnm0GLpxevtuT3sxYEefoREUT2cHiJQGFhIfbs2QOtVovx48e3apXBXXfdhaaOhvLwY6Nky56DHG3dIbrijtrWai/xcyEhITAYDJgxYwZOnjyJAQMGYOfOndBoNHYtfVWr1dBoNDh37hwuXLiAwsJChIeHA3B/7Uxr7rxDQkIwffp0pKenNyjitXvQLC6uz8iIBKH+cXExcPvtTT7VMnsmCAIGDBgAAI3eH0uXLpXNydhKZP56tnTZNpGnceigyS1btiAxMRGjRo3Cm2++qYgNlJR60KTU7N1F153TAJbTGOZ3o3l5ebj33ntNn//ss8/QrVs3U7agqqqqyWyLmFk4fvw4Tp06hYqKCsTGxpqCIndqTb+2pt5GX1KCjr16QVVRAQgCBJUKQvv2QGkp1O3aWX2ewWBAXl4egoKCsGPHDmzbtg0+Pj4YMmQI1q5da1rC7Kr3h5w22JOiLTqdDosWLcKhQ4cAAHfeeSdee+01pweHcupnRzmz7UruByVyyUGT99xzD44dO4bXX38ds2bNanUjPYEnv7HtXRHkrjtqy0BG3Hm1rq4Os2fPxty5czFgwADTadRRUVGmKZuioiLTrtG2dvgV0/d5eXlYs2YNLly4gICAAJSVlbk9a9CafrX3ubbqW8bNno37tm+HqrwcN/z88M8//QntUlKsBoAGgwHTp0/Hd999h/bt22PRokWYM2cOcnNzMWjQIJdPechpc0ip2mK5bLtPnz4IDg526s+QUz87ypltV3I/eAO7g5mbN2/i9OnT6Ny5syvboxie9saWc2Bm2deTJk1Cenp6gyXHU6ZMwc6dO1FQUGCqmRGnbARBQEhIiCkzY2vqRq1Wo1u3bhg0aBDUajViY2M9cj+Ppupb9oeFoff330N7/TpWvPEGLly5gnAbtTsFBQU4ceIEysvLUVVVhaNHj2LTpk0uz8aI5LQ5pFRtsaz5ys3NxVtvveXU65Gc+tlRzmy7kvvBG9gdzFiek+TtPOmNLffAzLKvJ02ahD59+jRacqzRaNC9e3fT88yLJZuqmTEnPken0+H999/3mP08zItEATTYZbeqqgp9+/aFIAioqqrCmo0bMWDAAPQZPBiGkydtBoBRUVEYOHAgysvL0b59e9x5551uLUDVarXo378/rl+/jjvuuAMGg0GywNNarZO7bhDMa75KS0udfj1S8goqZ7Zdyf3gDRRznIHceNIb212BWUsv7pZ9HRIS0uSOtebMp13s/Z3EjfeysrIa9YkSV46IRaI7d+40TQ316NEDR44cQWVlJXbv3o2HH34YTz75JF5++WWUlpYiKysLa9aswdSpU22+XhqNBrt27UJeXh46dOiATp06SdIfubm5SEtLwyeffIIZM2ZgwYIFbm+H5SojoPHSdPPNHp39HmrqetTaoMpZm3BKwZltV3I/eAMGMy3kSW9sdwRmrcn+WOtrtVrt0h1rLfskODgYly5dwtatW/HZZ58BqD8l2drAKdWUna1BUtwJODs7G7W1tdi+fTs+++wzXL9+3bTLbm5urmkHWvOgsbn2azQaREdHu/x3s0Y86LG4uBjXrl1DbW0t0tLS8Ne//hXdunWTJKARA2adTtfgBkGn00GtViMwMBAbN27Evn37oFKpnLb6qKkl2x988IGplqylGUalLpN39t+iUvvBGzCYaQVPeWO7IzCzJ/tjvoxar9cD+G1QttbXrux/yymqN998E9u3b0d+fj4MBgMCAwOtnpJsuWV/QkKCS1ZDWV6kLZfo3nfffVi6dKmpdqhv3774+uuvUVtbi19//RVvvvkmnn76abRr186054vlvj1yD9DF4te8vDz4+fkhNDQUBoMBa9eulfx8LfNguF+/fti2bRtycnKg1+tx+vRpXL16FQEBAQ4dGtkcyyXbycnJSEtLQ35+PrRareKnw0WOnv/m6r9Fkge+sgTA9YFZc9kf8wtPZWWl6YRgW9kPZ7J1cRT7RKfTmY48EE+VDg8Pt3pKsrX9VpYuXerU9lvLcpmfrFxZWYlLly6hpqbGdOJ0YmIiqqqqsHPnTly/fh3vvfce1Go1nn766Ubb6Dd3RpZcptnE4lfxzKJr166ZpsmkHrjNa6+2bduGbdu2Qa1Wm94/Pj4+iIiIwLBhw1ySCRVvHq5evQrgt72jlDwdDjiW4XXH3yLJB4MZcjkxWJg7d67NIlzzZdQFBQW4fv061Gq1y6cN7Lk4Wi5/HTduHObMmWO1RsRyy37xbtyZg6q1LJfYxpycHBQWFpoOamzXrp0pQ7Nq1Sqo1WqkpqaioqIC7777LoxGo+njthgMBhQUFCAyMhKvvfYaPvnkEwDy2KBNrf7toMdOnTph4MCBOHHiBLp37y5pQbDYNrVajdzcXNOBkr///e9N75HZs2e7rM5IvHkAgLFjx2Ly5Mmmw0dtZTTEQFXsM6mDVWscqe9zx98iyQeDGXIpe++kzJdRd+zY0ZSZuXnzpkunDey5OJpnAICmMxJqtbrRlv3Ovhu2luUyX6K7adMm7N69G76+vg0u4BqNBs888wwEQcDmzZtRUlKCzZs3AwBWrVplNQVfU1ODBx54ALm5uWjXrh0qKytx9epVtG/f3q4pEnfWD6nVasydOxevvPIKPvnkE3zyySeSB1yOHijpLI4WJF+5cgXbtm3D/v37UVpaivDwcLdkRR3lSH2fO/4WST4YzCiYnPeGEdl7J2VZo6LX63H16tUG0wZiEaUzf1/x4ijuuRIYGAidTmd1ysneHa9tbdnfFEdeS1s1Tmq1GqGhoVi5ciUCAgKsXsA1Gg0WLlyITz/9FNnZ2aisrMSOHTsQEBCApKSkBj/bYDDggQcewNdffw21Wg1fX1+EhoaaptmamyJx15J/874rKyvDTz/9ZAqGnVmT0hLWXit3taW5gmSgvu8++OAD7NixAwUFBbhx4wZu3ryJGzduWK0Jk5qj9X0t+Vt0BiVcmz0NgxmFkvveMCJH76TEC2enTp0QEhKCAQMGID09Hd26dcPbb7+N8+fPOz1L88ADD6CsrAwnT57EzJkz0b59+1b/jOYGLWs78J44cQI9evRAfHx8s9MPTX3/5i7gnTp1wpw5c7B161acO3cO165dw0cffYT4+HiEhoaavq6goAC5ubmmAuOuXbti8ODBiImJsauN7ljyb/l3MHfu3AZTgkOHDpV840M5LBQw/zvs378/3n77bXz66aeoq6uDIAgoLS2FwWCAr68v2rdvj4iICKs1YXLgaH+6u/+Vcm32NAxmFEopm/a1dqWUIAjIzc3F0aNHcf36dVN2xBm/r3jR+f7775GWloba2loYDAb07dvX5rEHrflZ1oKXmJgYzJo1CydOnEBGRgY+/fRTfPTRR5g9e3arpkeauoCr1WosXLgQI0eOxMyZM3H+/Hn88ssveOONNxpMN4mb4gFAjx498OGHH+L69et2v462NpJrbQGxeV9a/h2UlZWZptv++9//Yv/+/XjqqackX90kNfOC5K1bt2Lr1q3Q6XQICAhAWFgYwsPD4ePjg/vuuw+zZ8+GRqORZc2MEijl2uxpGMwolD2rg+SS5mzpnZFer8cPP/xg2kfEx8cHtbW1iImJccodo3jRuXz5MqqqqqDRaNC+fXvceuut6NGjh9MKSC2XiIrBi7jKwmg0okePHjh06BDq6upQUlLi8ukRtVqN6OhoTJw4EVu2bEF1dbVphZO4Akqj0TQ6IqKdjQMnbf0M86lDcVfl1NRUAPYXENs6Ryo2NhaPPPIIoqOjIQhCg4ApJSUFH330EQoLC50aACuZWJB87tw5+Pn5wcfHB7feeitmzJiB0aNHo2PHjpJtfOhJPGlDVSVhMKNQTWU8PCXNqdVqMXToUOTn55v2EYmLi0NCQoJTfh/Ls5vatGmDIUOGoLq6Gnv37sW+ffucUkBqvkT0yJEjKC8vxx133GFaZZGbm4uXXnoJAEybqblqya45tVqNpUuXoqamBqmpqaisrMSuXbtQXV2NF198Eb6+vo2OiGjJz9BqtaY9T3JyclBaWgrAvnoWy/fyAw88gLS0NFy9ehWCIKCiogKnT59Gnz598OijjwIANmzYgC1btkCn00EQBNTW1qJHjx6STzfJgViQLAgCrl69irZt2yItLQ0//fSTKXtFreOOfbuoMQYzCmYr4+GKNKcUmR5xOmTKlCmNlouab7Bnz5lLtr6/5dlNRqMRCQkJ+PXXXwHYX0DaVP+IS0SPHDmCiooKvP/++5gzZw4eeughnDt3DoMGDUKnTp2QlJSEOXPmAHDfHi7iCicA2LVrFy5fvozNmzfjzJkz2Lt3L3x9fVv9M8z3PBGLhzUajdWAzbIfzd/LJ06cQEVFBfLz81FXV4f/+Z//wb59+/Drr7+ioKAADz/8MNRqNXJyckyZh65du+KBBx5Au3btPOacrdYQ3/N5eXlYu3atXSfKk+PkUCflbRjMeCBnT0FJmemxtorIfNqmqqrKdBp2S9plftERz14yLyC1J0Ni3p7u3bvjoYceapCuF5eIiucg+fr64ty5c1i7dm2j1Vn2rphyJjGgqa6uxubNm3Hjxg0cPnwYK1aswJo1a1q9a6rlnicTJ060uo+JtWJeo9GI/v37AwCio6Nx9uxZlJWVoba2FtXV1abnqlQq088yr/OJj4+HWq3G8uXLWcPwf9Tq+tPhxX6y50R5IrljMCMjzsp+OGMKqqkiS6kHA/MN9sS7SgDIy8tr9eZ6juwpY94e8wLejz/+GBMnTkRiYmKDE71XrlyJ9u3bIzs723R8gFwyBBqNBi+++CLOnDmDw4cPQ6VS4eOPP8Ytt9zSaMl2U2xlzOxJu1tmYTZs2ICcnBz06NEDq1evRkhICDZu3Ijvv/8e/v7+uHjxIuLi4vDTTz+ZDhu19rOMRqMpuI+NjeV0E2yfKA/A6tYERHKnEgRBkLoRrlReXm76Yw0KCpK6OTa5K/uh0+mwbNkylJSUIDw8HOvWrbN6RpKYaYiOjsbixYvx9ttvmzI98+bNk/RCZ5mZadeuHaqrq1uVoWlte9avX4+33noL//3vf6FSqRASEoK5c+c22j5dToXZ1ty4cQNPP/00tm/fDoPBgJ49e+KTTz6xK2PU2oyZ+d+AmIU5duwY6urq8MgjjyAxMRFGo9EU5AwaNAiPPvqoXdOM4iqq999/H1lZWV4/3WSNO65Bcn//k7w4Mn4zMyMT7sp+2FNpb3mmiUqlQkJCQotrU5zN8q6yoKAAa9eulexMHrVajSVLlkAQBHz00UcoKiqCv7+/1e3T5T6X7uvri6SkJBw+fBglJSWm6Rt7WMuYOVKHYfm6btiwAd9//z18fHyQnZ1t+j6We+jY+73VajWysrJkk2GUG1dfgzxlYQLJE4MZmXDFcj5rd0H2pPy1Wi2io6NNq22ys7NRVlYmqwu/+SAmzv+7aymktX7VaDRISkpCfHw8UlJSkJubq9jt0zt16oTZs2cjPT3dNH1jD8vVYfbWYVj2p/jzlixZApVKZZqWE79PSwNCLpltmqv7R27T1eRZOM0kI85MwdpzF9TUBmYGgwEbN240DSRSTy01x13pa3v7Vemp9JYUiZvXX9i7yqy5/nR2X3rCa+NKruwf89daDtPVJH+cZlIoZ05BNHcXZDQasXnzZuzatQuCICAuLq5RwWpiYqJiLvzumr6x92BKcWWUTqdr1fJxqdjqT2uDna2AxJ7Xo7n+dPbrKsdpPjkFWK7sH+6/Qq7EYMZDNZcy1uv1SE9PR1FREaqqqvDWW2/h+vXrpt1fAXle+KVmbyremcvH5cJoNGLTpk3IyMjA0KFDTZsJtmb6wNaRB95yMKC31ZHwmkKuwmDGQ5mfxWKNVqvFsGHDkJOTg8LCQlRXVyM1NRWCIGDhwoUu29ZcTnehLeHoMmOlb0pm/nrpdDqkpqbiwoULyM/Px5QpU9CpU6dWBSSW/QnA7YO7lAEF60iInIPBjIf78MMPTUuslyxZ0iDrIh7It2nTJuzevRvl5eXYvHkzPv/8c0yaNKnBtJMzeMpdqD13ly0thpUTa0cJiMxXObUkILFV9KvT6dw+uLsyoGjuYE0WJRM5B4MZD2ZtiXViYmKDlU2hoaFYuXIlVCoV3n33Xeh0OuTl5VmddnJGexwdNJSaybG1KZlcfwdr/Wz5ek2aNAnTp0+3usrJnoBEHNgNBgN27NiB3NzcRlNvUgzurjzdW6xLq6urw6xZs/DYY481+F6sIyFyDgYzHszaEmtrAYS4nb2/vz8+/vhjFBYW4vr160hNTUW7du0abfzWmvY4MlApPZNjeVSCXNnqZ8vXKyQkBAsWLMDUqVObHHhtBQebNm1CamoqLl68iOvXr1s9zVqKwd1aZklsKwBMnz4dCxYscLgter0eaWlpOHv2LG7cuIEdO3Zg6tSpjTYgZB0JUesxmPFg4mZu1vbqsKTRaPDkk0/ioYceMk07+fr6Wt34rTXtcWSg8vR6ArkUutrqZ1uvV3OvgbXn6XQ6ZGRkoLCwEHq9Hr6+vqitrUVMTAyCg4MbbKEvxeBumVnKyMjAhQsXAADp6emYOnWqw23SarXo27cvvvnmGwBw6pQtETXEvy4P58gSa/Npp4CAANOW8c5M9TsyUHlqPYFUW+vbm4Ex7+eWBhaWz9NqtRg6dCjy8/Ph5+eH0NBQxMXFYdGiRXjrrbdklX0zb6tKpcLw4cMb9Ikjxc2JiYkAgNOnTzu0ASEROYab5pFVcqlVkUs7HGWr3WJAkZaWhvz8fHTo0AERERFWz8hytqbO5XJHP4tBnHjIY0hICPR6fbNnhUnBVs2M+PodP34ckZGRWLFiBXx9fZv9Xkp8DxNJjZvmUavJZR5fLu1wRFO1PuKUjl6vB/BbXVNwcLDTfratgdMVGRhHqNXqRvUittokdQBgra1A/et3/PhxfPHFF6iqqsLx48exd+/eJgMaZ/et1H1DJEcMZoicrKlaH/PBe8yYMaisrER2djbeeuutVk+xNFcw7UjNUkuPM3B0gLXWJvOjNOS20aBWq0VkZCSqqqpQW1uLI0eOYMWKFVi6dKnL9mYyp/SieCJXYTBD5GTNZUDEwdtoNGL58uUtPu3bMoBw5KiF5r6vIwNmawdY8zYZDAa8+OKLSE1NNWU75FT4rVarsWLFChw/fhxHjhyBSqXC9u3bcfDgQUycONHpezNZ8vSieKKWYjBD5GTNZUDMz24Sg54BAwbAaDSa6kmaYy2AcFbBtKMDprMGWKPRiA0bNiA1NRUVFRUIDAxEdHQ0DAYDrly50uL9XpzN19cXe/fuxTPPPIOPP/4YV69exblz57BlyxaoVCqnbWVgSXx/DBgwAAA8qiieqLUYzBC5gD0ZEPMjJz744AMsX768UWbDViGqrQDCGXu0OHo8gTODqJycHPj6+iIwMBDTpk2Dr68v7r//fgAt3+/FFXx9ffHSSy8hJCQEH374IYqKiuDn5+fUrQzMmZ/11aNHD6xevdot01pESsFghkhC4r4qJ0+etLpjrq3N22wFEM4oNnX0eAJrmaiW1NBotVoMHDgQABATE4NZs2YhMTGx1fu9uIpGo0FSUhLi4+ORkpKC3Nxcu7YyaEnfmO/mfeTIEVRXV7v0DDUipWEwQyQxW4GJXq+3uXmbq3fKdfS8JPOvb2kNjbUgqqn9XuRA3JspKSnJ7sJq8wxLfHy8XQGJVqtFTEwMjhw5gvLycmzatAmffPIJpk6diqVLl3JDPvJ6/AsgkpitwKS5zdvctWzd0Wmk1tTQWP5OCxcuxJQpUwA4dkaSM85WcoS9r4WYYcnIyMCnn36Kjz76CLNnz8bChQtttlHM5CxatAhVVVXYsWMHSkpK8PPPP2P9+vWorq7GqlWrFBvQcKk5OYOk75zDhw9j3LhxiIiIgEqlwr59+xp8XhAErFq1CuHh4Wjbti1GjRqFc+fOSdNYIhcSB0PL6ZuFCxfik08+wb59+yRbhisGW+vWrcO8efPsyiLExsYiPDy81UWq4n4v1rIX5pvwWX5806ZNGD9+PMaPH4/Nmzc3+hqpiPsK1dbWoq6uDqWlpcjIyDDtO2T5O4mZnGXLluHtt9/G008/jRkzZiAgIAAAUFVVhZ07d+Lpp5/GjRs3Gv08W30kF+a/X3JysmzbSfInaShfVVWFfv36Yc6cOZgwYUKjz7/88sv4xz/+ge3btyMqKgorV67E6NGj8fPPP8Pf31+CFhO5l63N26RohyPZFVcfFtncxoTOOFvJFcTz0gRBwCeffAIAGDZsmKnIWpyCiomJQUJCAsrKyhpkuSoqKrBq1Sq0bdsWH3zwAX799Vf897//RXJyMs6dO4cPP/zQlKFRwp40XGpOziJpMDNmzBiMGTPG6ucEQcCrr76KZ555BuPHjwcA7NixA6Ghodi3bx+mTp1q9Xm1tbWora01PS4vL3d+w4lkSi4pe1dPgTW3MaGca23MC4evXbuGbt26mQ7jFIt8jx49CkEQsGTJkkZTfGq1GsuWLcOcOXOwfv16vPnmmxAEAWfOnEFeXh46duxo+llyCBTcsRKOSLaTrAUFBSgtLcWoUaNMHwsODsaQIUNMd1rWrFmzBs8995y7mkkKIZdB3pUMBgM2bNiAnJwc2e2c62zNbUzY0lobd/r4448b7RMUExODo0ePwsfHBzk5OSgrK7Oa5RILj1evXo3z58/jzJkziI2NxVdffYX33nsPADB16lTJ96Rx5q7URE2RbTBTWloKAAgNDW3w8dDQUNPnrFm+fDmWLFlielxeXo7IyEjXNJJkpbnDHV2Zbnd3wam1n79x40Zs3boVPj4+ANy3c64UgaI9GxPKYXrOFluZpYSEBAiC0ODE+qayXL6+vvjwww9RUFCAoKCgBkvZjx07ho0bN2Lq1KmSBQrNTSN5w00GuYdsg5mW8vPzg5+fn9TNIDez53BHV6XbjUYjNm/ejF27dkEQBMTFxbl8W3tLer0e2dnZ8PHxQV1dHWJiYtxyJ97SQNEZg5gSDyEV2cosaTQaLF26tFHfNNVfGo0G3bt3h9FoxLBhw5Cfnw+gvhZH6qxUUxk0JdT0kHLINpgJCwsDAFy6dAnh4eGmj1+6dAn9+/eXqFUkV/Ye7hgbG+vQsQHNMRqNyMvLQ1paGoqKilBVVYUtW7ZArVYjMTHRbRdnyw3nEhIS3PKzWxIochBrOrNkGaTZ219qtRoLFizA5MmTATTMEEqVAWnq92TxLzmTbIOZqKgohIWF4cCBA6bgpby8HD/88AMWLFggbeNIduw53FGn0+H9999vdGyAeKEPDg5GWVmZQydFi6tPDAYDwsLCTNvaZ2dnu/XiLFXtgXm/23u+FAexeo7sTWNvf1mbXpO6lsrW78niXw9RUwMUFwMREYCEq4wlDWYqKytx/vx50+OCggJkZWWhY8eO6NKlCxYvXowXX3wR3bt3Ny3NjoiIQFxcnHSNJlmyp4ZCrVYjKyvLNCiI+2+kpKQgJycH1dXVCAgIsPuCLw4ypaWlCAsLw7vvvov9+/fbva29s0kx7WLP+VKWLAex4OBg6HQ61k3Y0JpBX8paquaw+NcDHDgATJgAlJcDQUHAnj3AyJGSNEXSYOb48eMYMWKE6bFYuDt79mykpKTgySefRFVVFebOnYtr167hT3/6E7788kvuMUNW2RrMzTMv5lmE9957Dzt27EBhYSG0Wi0EQUDXrl2hUqnsuuBbDjLR0dF2b2vvSZo6X8rW14uDWHBwMN566y2vnnJqTmsGfalqqeyl5Lonr1dTUx/IVFTUP66oqH986ZIkGRpJg5m77roLgiDY/LxKpcLzzz+P559/3o2tIk9iWW8wd+5clJWVwWg0IiEhAaWlpairq4PBYEDfvn3RsWNHu06KBmwPMo5cnD1lNYej2QNxELM890mn05kO0lRyfzhbSwd9qWqpyAsUF9dnZESCUP+4uBi4/Xa3N0e2NTNEzmBZb1BWVmY6kVrcWA0A4uLisHjxYlRUVNh1UrRIHHhbEpB4UiGsrcCuuWDNPAjq168ftm3bhtzcXI/fJ8ddOJVDLhMRUT+1VFFRH8ioVEBgYP3HJcBghjyarYyBrY3VHDkpGmhdQOJphbAtWYVjXnOzbds2bNu2TXa1HUrnzKkcT8kkkhP4+9fXyIg1M4GB9Y8lKgNhMEMerbklsLY2VrN32sSRgMRyIPD0Qlh7+0asucnNzZVtbQd5ViaRnGTkyPoaGW9fzUTkDi25M7U3PW9v0GNrIPDkQlhH6mhY2yF/npZJJCfx95ekRsYSgxmSHbmksu0JguwNemwNBLYKYT1hoHCkXsPa18rlfQDI5z0pJe4LQ3LGYIZkRYmpbHuCnuYGAk8dKBzJipl/rZzeB3Jqi5RYTExyxmCGZMVTU9n2bOrHgeI3cnofuONsL6W87twXhuRK3n855HXEDEV4eLhHZSiA3wYCWwNWc5/3JlK+D8QT0I1Go8vbImZ9li1bhuTkZNPPdOb3N/9diDyVSmhq1zoPUF5ebjpzJygoSOrmkB2UdKdKriPF+8DWlJKr2qLT6bBs2TKUlJQgPDwc69atc+oyasVPj8nk3B+ShiPjt8Le2eQNmKEgQJr3geWUkk6ng06nAwCXtMWVWR9r02OKcuAAEBoKdOtW/++BA1K3iGSMNTNERP/HvBA7NjYW77//PrKyslyW2TDfNNDZFF1ULrNzf0j+GMwQkd08fQrQvBDbaDRi+fLlbilC/vDDD50+HSRFUbnT3h8yO/eH5I/BDBHZxSNqMOwgTm8ZjUa3ZDZctVrK3YGnU98fMjv3h+SPwQwR2UVOy6VF4oAtFgk6c+B2V2bDFdNBUgSeTn1/yOzcH5I/BjNEZBe51WCIA/aJEydQVVWFgIAAp5+27Y59VVwRNEkReDr9rDEZnftD8sdghojsIreN/cQBu6ioCEVFRejSpQtUKpUsMkaAY9M8zg6apAg8XXLWmEzO/SH5YzBDRHaT0w6w4oAtCAJCQkIQEBCA2NhYGI1GGI1GSYMtqeuLpAo8PfmsMZI3BjNEpEiWmQC9Xo/3338fy5cvl7xAWQ71RVIGnnKbkiTPx2CGiBTB2rSN+YCtVquRlZXVKIAQt/QHXLPxnTXePpjLbUqSPB+DGfJYnr4nijcQX8PAwEC89tpryM7Otlnkay2AMBgMWL9+Pfbv3w8AmD59OhYsWODy9wMHc3lNSZLnYzBDHknqmgVqPYPBgI0bN+Ls2bPQ6/U4c+YMfH19AcDqtI1lAAEAGzduxNtvvw2dTof27dsjPT0dU6dOdcsgy8GcyH0YzJBHkkPNArWc0WjEhg0bsHXrVqjVahgMBrRp0wZ1dXWIiYmxOW1jHkDodDpkZ2fDz88PPj4+CA8Px/Dhw10+5cOMIJH7MZghj+TtNQtKp9frkZOTAx8fH9y4cQO///3vodVq0bNnTyQkJNgVJGi1WgwcOBAA0KNHD8THx6NTp04uDTDM975x188kIkAlCIIgdSNcyZEjxMmz8A5ZucyDgpiYGCxatAgVFRUOv5bufg/odDo8+eSTyMjIwJUrV9ClSxdMmjQJiYmJ0Gh470jkCEfGb/51kcdizYJyWSugbclr6e73gFarRUxMDA4dOoQbN27g/Pnz2LJlC9RqNRITExlUE7kI/7KImiEu7TUajVI3xauIgYiSAgC1Wo2EhAQ8+uijuOOOO+Dn5wd/f39kZ2dDr9e7rR18z5K3YWaGqAmW0x0JCQmcLqAmaTQaJCUlIT4+HikpKcjNzcWgQYPcVrfFlXzkjXhVJmqCXq/HiRMn8MMPP+Do0aMQBAFLly7l4EBNUqvVCA0NRVJSktvrtriSj7wRr8hETRBrIOrq6uDj44OcnBy3TheQskkxVSau5AsPD+dKPvIazMwQNUGsgRAEATk5OW6dLiBqCW/ffZirGL0Tl2YT2YEXSCL5Y72QZ3Fk/OarTGQHJa6sIfI21uqFyDvwykxERB6B9ULeizUzRETkEby9XsibMZghIiKPwZ2/vRPDViIiIlI0BjNERESkaAxmiIiISNEYzBAREZGiyTqYuXnzJlauXImoqCi0bdsW3bp1wwsvvAAP3+ePiIiIHCDr1Uzr1q3D5s2bsX37dvTu3RvHjx/HQw89hODgYDzxxBNSN4+IpFBTAxQXAxERgL+/1K0hIhmQdTCTlpaG8ePHY+zYsQCA2267Dbt378axY8dsPqe2tha1tbWmx+Xl5S5vJxG5yYEDwIQJQHk5EBQE7NkDjBwpdauISGKynmYaPnw4Dhw4gNzcXADAqVOncPToUYwZM8bmc9asWYPg4GDTf5GRke5qLhG5Uk1NfSBTUVH/uKKi/nFNjbTtIiLJyfqgSaPRiKeffhovv/wy2rRpg5s3b2L16tVYvny5zedYy8xERkbyoEkipcvPB7p1a/zxvDzg9tvd3x4icilHDpqU9TTTBx98gF27diE1NRW9e/dGVlYWFi9ejIiICMyePdvqc/z8/ODn5+fmlhKRy0VE1E8tVVQAggCoVEBgYP3HiciryTqYSUpKwlNPPYWpU6cCAPr06YPCwkKsWbPGZjBDRB7K37++RkasmQkMrH/MImAiryfrYKa6urrRQWFt2rSB0WiUqEVEJKmRI4FLl7iaiYgakHUwM27cOKxevRpdunRB7969cfLkSWzYsAFz5syRumlEJBV/f9bIEFEDsi4ArqiowMqVK7F3715cvnwZERERmDZtGlatWgVfX1+7vocjBUREREQkD46M37IOZpyBwQwREZHyODJ+y3qfGSIiIqLmMJghIiIiRWMwQ0RERIrGYIaIiIgUjcEMeZaamvpt73leDxGR12Aw4wJGoxE6nY6b+7nbgQNAaGj9+T2hofWPiYjI48l60zwlMhqNSE5ORmZmJmJjYzF//vxGuxiTC9g6UfnSJe4SS0Tk4TjKOpler0dmZiZKSkqQmZkJvV4vdZO8Q3Fx/Xk94rZJglD/uLhY2nYRyQizxtJgv7seMzNOptVqERsbi8zMTAwcOBBarVbqJnkHnqhM1CRmjaXBfncPBjNOplarMX/+fOj1emi1Wr5p3YUnKhM1yVrWOCQkROpmeTz2u3twpG0la+lDtVqNkJAQBjLuJp6onJdX/+/IkVK3iEg2xKxxeHg4s8Zu1Jp+5/SU/Xg2UysYjUZs2rQJGRkZGDp0KBYuXMgAhohky2g0tihr3NLnUb2W9B+npxwbvznN1Ao6nQ6pqakoKipCTk4OJk2ahNDQUKmbRURklZg1dgQH1dZrSb9zesoxfEe2kiAIqKqqQlFREVJSUpgOJCKPwhWa0uC0oGOYmWmFkJAQxMXFYcuWLfD390dubi6jZyLyKFyhKQ0uJnEMg5lWUKvVSExMhEqlQk5ODgYNGsQ/dCLyKBxUpdOS6SlvxQJgJ2BxHBERkXOxANjNGD0TERFJh2kEIiIiUjQGM0RERKRoDGaIiIhI0RjMEBERkaIxmCEiIiJFYzBDREREisZghoiIiBSNwQwREREpGoMZIiIiUjQGM0RERKRoDGaIiIhI0RjMEBERkaIxmCEiIiJFYzBDREREisZgxkMYjUbodDoYjUapm0JERORWGqkbQK1nNBqRnJyMzMxMxMbGYv78+VCrGacSEZF34IjnAfR6PTIzM1FSUoLMzEzo9Xqpm0REROQ2DGY8gFarRWxsLMLDwzFw4EBotVqpm0REROQ2nGbyAGq1GvPnz4der4dWq+UUExEReRUGMx5CrVYjJCRE6mYQERG5HW/hiYioWVwxSXIm+2Dm4sWLmDFjBkJCQtC2bVv06dMHx48fl7pZREReQ1wxuWzZMiQnJzOgIdmR9TSTXq/HH//4R4wYMQJffPEFOnXqhHPnzrHAlYjIjaytmOS0NsmJrIOZdevWITIyEu+8847pY1FRUU0+p7a2FrW1tabH5eXlLmsfEZE3EFdMZmZmcsUkyZJKEARB6kbY0qtXL4wePRq//vorDh06hN/97ndYuHAhHn30UZvPefbZZ/Hcc881+nhZWRmCgoJc2VwiIo9lNBq5YpLcqry8HMHBwXaN37IOZvz9/QEAS5YswaRJk/Djjz9i0aJFSE5OxuzZs60+x1pmJjIyksEMERGRgnhMMOPr64tBgwYhLS3N9LEnnngCP/74I9LT0+36Ho50BhEREcmDI+O3rHOF4eHh6NWrV4OP9ezZE0VFRRK1iIiIiORG1sHMH//4R+Tk5DT4WG5uLrp27SpRi4iIiEhuZB3MJCQkICMjAy+99BLOnz+P1NRUvPXWW3jsscekbhoRERHJhKyDmcGDB2Pv3r3YvXs3fv/73+OFF17Aq6++iunTp0vdNCIiIpIJWRcAOwMLgImIiJTHYwqAiYiIiJrDYIaIiIgUjcEMERERKRqDGSIiIlI0BjNERESkaAxmiIiISNEYzBAREZGiMZghIiIiRWMwQ0RERIrGYIaIiIgUjcEMERERKRqDGSIiIlI0BjNKVFMD5OfX/0tEROTlGMwozYEDQGgo0K1b/b8HDkjdIiKihnjDRW7GYEZJamqACROAior6xxUV9Y95wSAiueANF0mAwYySFBcD5eWAINQ/FoT6x8XF0raLiAjgDRdJhsGMkkREAEFBgEpV/1ilqn8cESFtu4iIAN5wkWQYzCiJvz+wZw8QGFj/ODCw/rG/v7TtIiICeMNFkmEwozQjRwKXLgF5efX/jhwpdYuIiOrxhoskopG6AdQC/v7A7bdL3QoiosbEG67i4vqMDAMZcgMGM0RE5Fy84SI34zQTERERKRqDGSIiIlI0BjNERESkaAxmiIiISNEYzBAREZGiMZghIiIiRWMwQ0RERIrGYIaIiIgUjcEMERERKRqDGSIiIlI0BjNERESkaB5/NpMgCACA8vJyiVtCRERE9hLHbXEcb4rHBzMVFRUAgMjISIlbQkRERI6qqKhAcHBwk1+jEuwJeRTMaDSiuLgYgYGBUKlUTX5teXk5IiMjceHCBQQFBbmphZ6L/el87FPnY586H/vU+byxTwVBQEVFBSIiIqBWN10V4/GZGbVajc6dOzv0nKCgIK95s7gD+9P52KfOxz51Pvap83lbnzaXkRGxAJiIiIgUjcEMERERKRqDGTN+fn74f//v/8HPz0/qpngE9qfzsU+dj33qfOxT52OfNs3jC4CJiIjIszEzQ0RERIrGYIaIiIgUjcEMERERKRqDGSIiIlI0rw9mbt68iZUrVyIqKgpt27ZFt27d8MILL9h1FgTVO3z4MMaNG4eIiAioVCrs27evwecFQcCqVasQHh6Otm3bYtSoUTh37pw0jVWIpvq0rq4Oy5YtQ58+fRAQEICIiAjMmjULxcXF0jVYAZp7n5qbP38+VCoVXn31Vbe1T4ns6dOzZ8/ivvvuQ3BwMAICAjB48GAUFRW5v7EK0Fx/VlZW4vHHH0fnzp3Rtm1b9OrVC8nJydI0Vma8PphZt24dNm/ejNdffx1nz57FunXr8PLLL+Of//yn1E1TjKqqKvTr1w9vvPGG1c+//PLL+Mc//oHk5GT88MMPCAgIwOjRo1FTU+PmlipHU31aXV2NzMxMrFy5EpmZmdizZw9ycnJw3333SdBS5WjufSrau3cvMjIyEBER4aaWKVdzfZqXl4c//elPiImJwcGDB3H69GmsXLkS/v7+bm6pMjTXn0uWLMGXX36JnTt34uzZs1i8eDEef/xx7N+/380tlSHBy40dO1aYM2dOg49NmDBBmD59ukQtUjYAwt69e02PjUajEBYWJvz97383fezatWuCn5+fsHv3bglaqDyWfWrNsWPHBABCYWGhexqlcLb69NdffxV+97vfCf/5z3+Erl27Chs3bnR725TKWp9OmTJFmDFjhjQNUjhr/dm7d2/h+eefb/Cx2NhYYcWKFW5smTx5fWZm+PDhOHDgAHJzcwEAp06dwtGjRzFmzBiJW+YZCgoKUFpailGjRpk+FhwcjCFDhiA9PV3ClnmWsrIyqFQqdOjQQeqmKJbRaMTMmTORlJSE3r17S90cxTMajfj888/Ro0cPjB49GrfeeiuGDBnS5PQeNW348OHYv38/Ll68CEEQ8N133yE3Nxd//etfpW6a5Lw+mHnqqacwdepUxMTEwMfHBwMGDMDixYsxffp0qZvmEUpLSwEAoaGhDT4eGhpq+hy1Tk1NDZYtW4Zp06Z51QF0zrZu3TpoNBo88cQTUjfFI1y+fBmVlZVYu3Yt7rnnHnz99de4//77MWHCBBw6dEjq5inSP//5T/Tq1QudO3eGr68v7rnnHrzxxhv485//LHXTJOfxp2Y354MPPsCuXbuQmpqK3r17IysrC4sXL0ZERARmz54tdfOImlRXV4fJkydDEARs3rxZ6uYo1okTJ/Daa68hMzMTKpVK6uZ4BKPRCAAYP348EhISAAD9+/dHWloakpOTceedd0rZPEX65z//iYyMDOzfvx9du3bF4cOH8dhjjyEiIqJB9tsbeX0wk5SUZMrOAECfPn1QWFiINWvWMJhxgrCwMADApUuXEB4ebvr4pUuX0L9/f4la5RnEQKawsBDffvstszKtcOTIEVy+fBldunQxfezmzZtITEzEq6++il9++UW6xinULbfcAo1Gg169ejX4eM+ePXH06FGJWqVc169fx9NPP429e/di7NixAIC+ffsiKysL69ev9/pgxuunmaqrq6FWN+yGNm3amO4qqHWioqIQFhaGAwcOmD5WXl6OH374AcOGDZOwZcomBjLnzp3Dv//9b4SEhEjdJEWbOXMmTp8+jaysLNN/ERERSEpKwldffSV18xTJ19cXgwcPRk5OToOP5+bmomvXrhK1Srnq6upQV1fH8coGr8/MjBs3DqtXr0aXLl3Qu3dvnDx5Ehs2bMCcOXOkbppiVFZW4vz586bHBQUFyMrKQseOHdGlSxcsXrwYL774Irp3746oqCisXLkSERERiIuLk67RMtdUn4aHh2PixInIzMzEZ599hps3b5rqjzp27AhfX1+pmi1rzb1PLQNCHx8fhIWFITo62t1NVYzm+jQpKQlTpkzBn//8Z4wYMQJffvklPv30Uxw8eFC6RstYc/155513IikpCW3btkXXrl1x6NAh7NixAxs2bJCw1TIh9XIqqZWXlwuLFi0SunTpIvj7+wu33367sGLFCqG2tlbqpinGd999JwBo9N/s2bMFQahfnr1y5UohNDRU8PPzE0aOHCnk5ORI22iZa6pPCwoKrH4OgPDdd99J3XTZau59aolLs5tnT59u3bpVuOOOOwR/f3+hX79+wr59+6RrsMw1158lJSVCfHy8EBERIfj7+wvR0dHCK6+8IhiNRmkbLgMqQeBWt0RERKRcXl8zQ0RERMrGYIaIiIgUjcEMERERKRqDGSIiIlI0BjNERESkaAxmiIiISNEYzBAREZGiMZghIiIiRWMwQ0RERIrGYIaIFOXmzZsYPnw4JkyY0ODjZWVliIyMxIoVKyRqGRFJhccZEJHi5Obmon///tiyZQumT58OAJg1axZOnTqFH3/8kYdtEnkZBjNEpEj/+Mc/8Oyzz+LMmTM4duwYJk2ahB9//BH9+vWTumlE5GYMZohIkQRBwN133402bdrgp59+wt/+9jc888wzUjeLiCTAYIaIFCs7Oxs9e/ZEnz59kJmZCY1GI3WTiEgCLAAmIsXatm0b2rVrh4KCAvz6669SN4eIJMLMDBEpUlpaGu688058/fXXePHFFwEA//73v6FSqSRuGRG5GzMzRKQ41dXViI+Px4IFCzBixAhs3boVx44dQ3JystRNIyIJMDNDRIqzaNEi/Otf/8KpU6fQrl07AMCbb76JpUuX4qeffsJtt90mbQOJyK0YzBCRohw6dAgjR47EwYMH8ac//anB50aPHg2DwcDpJiIvw2CGiIiIFI01M0RERKRoDGaIiIhI0RjMEBERkaIxmCEiIiJFYzBDREREisZghoiIiBSNwQwREREpGoMZIiIiUjQGM0RERKRoDGaIiIhI0RjMEBERkaL9f8ZZWokbJi+CAAAAAElFTkSuQmCC",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "aLkNmyE2V_4C"
},
"source": [
"## Saving the figure\n",
"\n",
"You can also save your figure into PDF, PNG, etc. If you run the following, the plot will not only be displayed here, but also be saved as `foo.png`. "
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"id": "JzE4wyLFV_4C",
"outputId": "c4d642c4-09b9-4ee4-8893-9db9c0c6b495"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"plt.plot([1,2,3], [4,2,3])\n",
"plt.savefig('foo.png')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "MLPpKe0lV_4C"
},
"source": [
"**Q4: Save your Voronoi diagram. Make sure that your plot contains the scatterplot of deaths & pumps as well as the Voronoi cells**"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 279
},
"id": "2Oc8emUJV_4D",
"outputId": "6e550809-4c78-48f1-9998-c5193236d000"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "R2pVtuNAV_4D"
},
"source": [
"Ok, that was a brief introduction to `pandas` and some simple visualizations. Now let's talk about web a little bit. "
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"id": "3KVCBVJ7V_4D"
},
"source": [
"## HTML & CSS Basics\n",
"\n",
"### HTML review\n",
"\n",
"Webpages are written in a standard markup language called HTML (HyperText Markup Language). The basic syntax of HTML consists of elements enclosed within `<` and `>` symbols. Markup tags often come in a pair, the opening tag without `/` and the closing tag with `/`. For instance, when we assign the title of the webpage, we write `This is the title of the page`. You can find tutorials and references from many websites, including [W3Schools](https://www.w3schools.com/). Here is an example of a simple HTML document (from w3schools homepage):\n",
"\n",
"```html\n",
"\n",
"\n",
"HTML Tutorial\n",
"\n",
"\n",
"
This is a heading
\n",
"
This is a paragraph.
\n",
"\n",
"\n",
"\n",
"```\n",
"\n",
"Here is a list of important tags and their descriptions.\n",
"\n",
"- `` - Surrounds the entire document.\n",
"\n",
"- `` - Contains information about the document. E.g. the title, metadata, scripts to load, stylesheets, etc.\n",
"\n",
"- `` - Assigns title to the page. This is what you see in the tab and what you have when the page is bookmarked. \n",
"\n",
"- `` - The main part of the document.\n",
"\n",
"- `
`, `
`, `
`, ... - Headings (Smaller the number, larger the size).\n",
"\n",
"- `